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100220303122104 = 233111797919267811
BaseRepresentation
bin10110110010011001011011…
…100100010001111010111000
3111010211222010020111200101110
4112302121123210101322320
5101114002140044401404
6553052323251120320
730052451352605124
oct2662313344217270
9433758106450343
10100220303122104
1129a2a212413530
12b2a74488a30a0
1343bc970891929
141aa698d562584
15b8be603d8b89
hex5b265b911eb8

100220303122104 has 128 divisors (see below), whose sum is σ = 274890806784000. Its totient is φ = 30196198819200.

The previous prime is 100220303122091. The next prime is 100220303122127. The reversal of 100220303122104 is 401221303022001.

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, 374086359 + ... + 374354169.

It is an arithmetic number, because the mean of its divisors is an integer number (2147584428000).

Almost surely, 2100220303122104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100220303122104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137445403392000).

100220303122104 is an abundant number, since it is smaller than the sum of its proper divisors (174670503661896).

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

100220303122104 is a wasteful number, since it uses less digits than its factorization.

100220303122104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 275929 (or 275925 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 100220303122104 its reverse (401221303022001), we get a palindrome (501441606144105).

The spelling of 100220303122104 in words is "one hundred trillion, two hundred twenty billion, three hundred three million, one hundred twenty-two thousand, one hundred four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 179 264 358 537 716 1074 1432 1969 2148 3938 4296 5907 7876 7919 11814 15752 15838 23628 23757 31676 47256 47514 63352 87109 95028 174218 190056 261327 267811 348436 522654 535622 696872 803433 1045308 1071244 1417501 1606866 2090616 2142488 2835002 2945921 3213732 4252503 5670004 5891842 6427464 8505006 8837763 11340008 11783684 15592511 17010012 17675526 23567368 31185022 34020024 35351052 46777533 47938169 62370044 70702104 93555066 95876338 124740088 143814507 187110132 191752676 287629014 374220264 383505352 527319859 575258028 1054639718 1150516056 1581959577 2109279436 2120795309 3163919154 4218558872 4241590618 6327838308 6362385927 8483181236 12655676616 12724771854 16966362472 23328748399 25449543708 46657496798 50899087416 69986245197 93314993596 139972490394 186629987192 279944980788 379622360311 559889961576 759244720622 1138867080933 1518489441244 2277734161866 3036978882488 4175845963421 4555468323732 8351691926842 9110936647464 12527537890263 16703383853684 25055075780526 33406767707368 50110151561052 100220303122104