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20321220100 = 225219173211293
BaseRepresentation
bin10010111011001111…
…010011011000000100
31221110012221221101111
4102323033103120010
5313104213020400
613200242134404
71316402343436
oct227317233004
957405857344
1020321220100
118688887485
123b31651404
131bbb0c52bc
14daac20656
157de06c3ba
hex4bb3d3604

20321220100 has 144 divisors (see below), whose sum is σ = 47067612480. Its totient is φ = 7593868800.

The previous prime is 20321220077. The next prime is 20321220133. The reversal of 20321220100 is 102212302.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 69355554 + ... + 69355846.

It is an arithmetic number, because the mean of its divisors is an integer number (326858420).

Almost surely, 220321220100 is an apocalyptic number.

20321220100 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 20321220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23533806240).

20321220100 is an abundant number, since it is smaller than the sum of its proper divisors (26746392380).

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

20321220100 is a wasteful number, since it uses less digits than its factorization.

20321220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 710 (or 703 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 20321220100 its reverse (102212302), we get a palindrome (20423432402).

The spelling of 20321220100 in words is "twenty billion, three hundred twenty-one million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 173 190 211 293 346 380 422 475 586 692 844 865 950 1055 1172 1465 1730 1900 2110 2930 3287 3460 4009 4220 4325 5275 5567 5860 6574 7325 8018 8650 10550 11134 13148 14650 16036 16435 17300 20045 21100 22268 27835 29300 32870 36503 40090 50689 55670 61823 65740 73006 80180 82175 100225 101378 111340 123646 139175 146012 164350 182515 200450 202756 247292 253445 278350 309115 328700 365030 400900 506890 556700 618230 693557 730060 912575 963091 1013780 1174637 1236460 1267225 1387114 1545575 1825150 1926182 2349274 2534450 2774228 3091150 3467785 3650300 3852364 4698548 4815455 5068900 5873185 6182300 6935570 9630910 10695379 11746370 13871140 17338925 19261820 21390758 23492740 24077275 29365925 34677850 42781516 48154550 53476895 58731850 69355700 96309100 106953790 117463700 203212201 213907580 267384475 406424402 534768950 812848804 1016061005 1069537900 2032122010 4064244020 5080305025 10160610050 20321220100