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101022320120 = 23529312809297
BaseRepresentation
bin101111000010101100…
…1100100010111111000
3100122202102022120210212
41132011121210113320
53123343203220440
6114224202530252
710204266360431
oct1360531442770
9318672276725
10101022320120
1139930514367
12176b4206988
1396ac5630a7
144c64b3c488
152963d79465
hex17856645f8

101022320120 has 64 divisors (see below), whose sum is σ = 242723347200. Its totient is φ = 37756938240.

The previous prime is 101022320117. The next prime is 101022320137. The reversal of 101022320120 is 21023220101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 101022320095 and 101022320104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1368689 + ... + 1440608.

It is an arithmetic number, because the mean of its divisors is an integer number (3792552300).

Almost surely, 2101022320120 is an apocalyptic number.

101022320120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022320120 is an abundant number, since it is smaller than the sum of its proper divisors (141701027080).

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

101022320120 is a wasteful number, since it uses less digits than its factorization.

101022320120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2809368 (or 2809364 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 101022320120 its reverse (21023220101), we get a palindrome (122045540221).

The spelling of 101022320120 in words is "one hundred one billion, twenty-two million, three hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 31 40 58 62 116 124 145 155 232 248 290 310 580 620 899 1160 1240 1798 3596 4495 7192 8990 17980 35960 2809297 5618594 11237188 14046485 22474376 28092970 56185940 81469613 87088207 112371880 162939226 174176414 325878452 348352828 407348065 435441035 651756904 696705656 814696130 870882070 1629392260 1741764140 2525558003 3258784520 3483528280 5051116006 10102232012 12627790015 20204464024 25255580030 50511160060 101022320120