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323213011002222 = 2311315411621180137
BaseRepresentation
bin100100101111101011110010…
…0101101010010001101101110
31120101101212021110110110010120
41021133113210231102031232
5314331010221304032342
63103230001334545410
7125036240501433135
oct11137274455221556
91511355243413116
10323213011002222
1193a92960623a30
1230300a1b508266
1310b46b18c8c3a3
1459b5843a5c91c
1527577a3784aec
hex125f5e4b5236e

323213011002222 has 128 divisors (see below), whose sum is σ = 729739649028096. Its totient is φ = 94549783680000.

The previous prime is 323213011002197. The next prime is 323213011002317. The reversal of 323213011002222 is 222200110312323.

It is a super-2 number, since 2×3232130110022222 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 323213011002192 and 323213011002201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1794172138 + ... + 1794352274.

It is an arithmetic number, because the mean of its divisors is an integer number (5701091008032).

Almost surely, 2323213011002222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323213011002222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364869824514048).

323213011002222 is an abundant number, since it is smaller than the sum of its proper divisors (406526638025874).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

323213011002222 is a wasteful number, since it uses less digits than its factorization.

323213011002222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182346.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 323213011002222 its reverse (222200110312323), we get a palindrome (545413121314545).

The spelling of 323213011002222 in words is "three hundred twenty-three trillion, two hundred thirteen billion, eleven million, two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 186 341 541 682 1023 1082 1621 1623 2046 3242 3246 4863 5951 9726 11902 16771 17831 17853 33542 35662 35706 50251 50313 53493 100502 100626 106986 150753 180137 184481 301506 360274 368962 540411 552761 553443 876961 1080822 1105522 1106886 1658283 1753922 1981507 2630883 3316566 3963014 5261766 5584247 5944521 9646571 11168494 11889042 16752741 19293142 27185791 28939713 33505482 54371582 57879426 61426717 81557373 97454117 122853434 163114746 184280151 194908234 292002077 292362351 299043701 368560302 584004154 584724702 598087402 876006231 897131103 1071995287 1752012462 1794262206 2143990574 3021077627 3212022847 3215985861 6042155254 6424045694 6431971722 9052064387 9063232881 9636068541 18104128774 18126465762 19272137082 27156193161 33231853897 54312386322 66463707794 99572708257 99695561691 157973123657 199145416514 199391123382 298718124771 315946247314 473919370971 597436249542 947838741942 1737704360227 3475408720454 4897166833367 5213113080681 9794333666734 10426226161362 14691500500101 29383001000202 53868835167037 107737670334074 161606505501111 323213011002222