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2331231102100 = 22521723324124421
BaseRepresentation
bin100001111011001000001…
…100111010010010010100
322020212022111121020200101
4201323020030322102110
5301143330130231400
64542541445023444
7330266036263255
oct41731014722224
98225274536611
102331231102100
1181974020036a
123179846b4b84
1313baac81c044
1480b91744b2c
15409923e656a
hex21ec833a494

2331231102100 has 144 divisors (see below), whose sum is σ = 5401876976496. Its totient is φ = 870211584000.

The previous prime is 2331231102089. The next prime is 2331231102119. The reversal of 2331231102100 is 12011321332.

It can be written as a sum of positive squares in 24 ways, for example, as 2016593124624 + 314637977476 = 1420068^2 + 560926^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 95447890 + ... + 95472310.

It is an arithmetic number, because the mean of its divisors is an integer number (37513034559).

Almost surely, 22331231102100 is an apocalyptic number.

2331231102100 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 2331231102100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2700938488248).

2331231102100 is an abundant number, since it is smaller than the sum of its proper divisors (3070645874396).

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

2331231102100 is a wasteful number, since it uses less digits than its factorization.

2331231102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24926 (or 24919 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 2331231102100 its reverse (12011321332), we get a palindrome (2343242423432).

The spelling of 2331231102100 in words is "two trillion, three hundred thirty-one billion, two hundred thirty-one million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 233 241 340 425 466 482 850 932 964 1165 1205 1700 2330 2410 3961 4097 4660 4820 5825 6025 7922 8194 11650 12050 15844 16388 19805 20485 23300 24100 24421 39610 40970 48842 56153 79220 81940 97684 99025 102425 112306 122105 198050 204850 224612 244210 280765 396100 409700 415157 488420 561530 610525 830314 954601 1123060 1221050 1403825 1660628 1909202 2075785 2442100 2807650 3818404 4151570 4773005 5615300 5690093 5885461 8303140 9546010 10378925 11380186 11770922 19092020 20757850 22760372 23541844 23865025 28450465 29427305 41515700 47730050 56900930 58854610 95460100 96731581 100052837 113801860 117709220 142252325 147136525 193463162 200105674 284504650 294273050 386926324 400211348 483657905 500264185 569009300 588546100 967315810 1000528370 1371312413 1934631620 2001056740 2418289525 2501320925 2742624826 4836579050 5002641850 5485249652 6856562065 9673158100 10005283700 13713124130 23312311021 27426248260 34282810325 46624622042 68565620650 93249244084 116561555105 137131241300 233123110210 466246220420 582807775525 1165615551050 2331231102100