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212323033100 = 225229317332353
BaseRepresentation
bin1100010110111101110…
…0000110000000001100
3202022001011020121221202
43011233130012000030
511434314144024400
6241312335245032
721224364001133
oct3055734060014
9668034217852
10212323033100
11820558a9382
1235196679778
1317039387639
14a3c298a91a
1557ca2534d5
hex316f70600c

212323033100 has 144 divisors (see below), whose sum is σ = 498758910720. Its totient is φ = 78265958400.

The previous prime is 212323033081. The next prime is 212323033103. The reversal of 212323033100 is 1330323212.

It is a super-2 number, since 2×2123230331002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (212323033103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6546524 + ... + 6578876.

Almost surely, 2212323033100 is an apocalyptic number.

212323033100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212323033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249379455360).

212323033100 is an abundant number, since it is smaller than the sum of its proper divisors (286435877620).

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

212323033100 is a wasteful number, since it uses less digits than its factorization.

212323033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32500 (or 32493 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 212323033100 its reverse (1330323212), we get a palindrome (213653356312).

The spelling of 212323033100 in words is "two hundred twelve billion, three hundred twenty-three million, thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 31 50 58 62 73 100 116 124 145 146 155 290 292 310 365 580 620 725 730 775 899 1450 1460 1550 1798 1825 2117 2263 2900 3100 3596 3650 4234 4495 4526 7300 8468 8990 9052 10585 11315 17980 21170 22475 22630 32353 42340 44950 45260 52925 56575 64706 65627 89900 105850 113150 129412 131254 161765 211700 226300 262508 323530 328135 647060 656270 808825 938237 1002943 1312540 1617650 1640675 1876474 2005886 2361769 3235300 3281350 3752948 4011772 4691185 4723538 5014715 6562700 9382370 9447076 10029430 11808845 18764740 20058860 23455925 23617690 25073575 29085347 46911850 47235380 50147150 58170694 59044225 68491301 73214839 93823700 100294300 116341388 118088450 136982602 145426735 146429678 236176900 273965204 290853470 292859356 342456505 366074195 581706940 684913010 727133675 732148390 1369826020 1454267350 1464296780 1712282525 1830370975 2123230331 2908534700 3424565050 3660741950 4246460662 6849130100 7321483900 8492921324 10616151655 21232303310 42464606620 53080758275 106161516550 212323033100