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332103001032220 = 2251176910491871321
BaseRepresentation
bin100101110000010111100000…
…1011001111100011000011100
31121112212201220011002202211111
41023200233001121330120130
5322012133421231012340
63134154002410031404
7126644435650045045
oct11340570131743034
91545781804082744
10332103001032220
11969001011a2380
12312b7953118564
1311340242571172
145c01c2a0c78cc
15285db64049aea
hex12e0bc167c61c

332103001032220 has 96 divisors (see below), whose sum is σ = 762533773848000. Its totient is φ = 120492648038400.

The previous prime is 332103001032217. The next prime is 332103001032239. The reversal of 332103001032220 is 22230100301233.

It is a super-2 number, since 2×3321030010322202 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 332103001032191 and 332103001032200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176534160 + ... + 178405480.

It is an arithmetic number, because the mean of its divisors is an integer number (7943060144250).

Almost surely, 2332103001032220 is an apocalyptic number.

It is an amenable number.

332103001032220 is an abundant number, since it is smaller than the sum of its proper divisors (430430772815780).

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

332103001032220 is a wasteful number, since it uses less digits than its factorization.

332103001032220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1873159 (or 1873157 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

Adding to 332103001032220 its reverse (22230100301233), we get a palindrome (354333101333453).

The spelling of 332103001032220 in words is "three hundred thirty-two trillion, one hundred three billion, one million, thirty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 769 1049 1538 2098 3076 3845 4196 5245 7690 8459 10490 11539 15380 16918 20980 23078 33836 42295 46156 57695 84590 115390 169180 230780 806681 1613362 1871321 3226724 3742642 4033405 7485284 8066810 8873491 9356605 16133620 17746982 18713210 20584531 35493964 37426420 41169062 44367455 82338124 88734910 102922655 177469820 205845310 411690620 1439045849 1963015729 2878091698 3926031458 5756183396 7195229245 7852062916 9815078645 14390458490 15829504339 19630157290 21593173019 28780916980 31659008678 39260314580 43186346038 63318017356 79147521695 86372692076 107965865095 158295043390 215931730190 316590086780 431863460380 1509559095601 3019118191202 6038236382404 7547795478005 15095590956010 16605150051611 30191181912020 33210300103222 66420600206444 83025750258055 166051500516110 332103001032220