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32201101020 = 223511389125423
BaseRepresentation
bin11101111111010101…
…011100111011011100
310002010011001102100010
4131333111130323130
51011421440213040
622443141203220
72216654561664
oct357725347334
9102104042303
1032201101020
1112724755890
1262a8100510
1330623c093a
1417b68d11a4
15c86eb1e80
hex77f55cedc

32201101020 has 96 divisors (see below), whose sum is σ = 98613365760. Its totient is φ = 7786197760.

The previous prime is 32201101013. The next prime is 32201101039. The reversal of 32201101020 is 2010110223.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 32201100987 and 32201101005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194029 + ... + 319451.

It is an arithmetic number, because the mean of its divisors is an integer number (1027222560).

Almost surely, 232201101020 is an apocalyptic number.

32201101020 is a gapful number since it is divisible by the number (30) 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 32201101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (49306682880).

32201101020 is an abundant number, since it is smaller than the sum of its proper divisors (66412264740).

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

32201101020 is a wasteful number, since it uses less digits than its factorization.

32201101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125835 (or 125833 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 32201101020 its reverse (2010110223), we get a palindrome (34211211243).

The spelling of 32201101020 in words is "thirty-two billion, two hundred one million, one hundred one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 389 660 778 1167 1556 1945 2334 3890 4279 4668 5835 7780 8558 11670 12837 17116 21395 23340 25674 42790 51348 64185 85580 125423 128370 250846 256740 376269 501692 627115 752538 1254230 1379653 1505076 1881345 2508460 2759306 3762690 4138959 5518612 6898265 7525380 8277918 13796530 16555836 20694795 27593060 41389590 48789547 82779180 97579094 146368641 195158188 243947735 292737282 487895470 536685017 585474564 731843205 975790940 1073370034 1463686410 1610055051 2146740068 2683425085 2927372820 3220110102 5366850170 6440220204 8050275255 10733700340 16100550510 32201101020