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332100130402100 = 22521031117274110531
BaseRepresentation
bin100101110000010110001011…
…0010011010110111100110100
31121112212110111002111122121102
41023200230112103112330310
5322012112031340331400
63134152405502305232
7126644304552100034
oct11340542623267464
91545773432448542
10332100130402100
11968a9968863495
12312b7291888218
131133cba5914668
145c01a36b598c4
15285da4700c9d5
hex12e0b164d6f34

332100130402100 has 144 divisors (see below), whose sum is σ = 728640282953856. Its totient is φ = 131372145216000.

The previous prime is 332100130402021. The next prime is 332100130402127. The reversal of 332100130402100 is 1204031001233.

It is a super-2 number, since 2×3321001304021002 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 31535473835 + ... + 31535484365.

Almost surely, 2332100130402100 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 332100130402100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364320141476928).

332100130402100 is an abundant number, since it is smaller than the sum of its proper divisors (396540152551756).

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

332100130402100 is a wasteful number, since it uses less digits than its factorization.

332100130402100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14506 (or 14499 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 332100130402100 its reverse (1204031001233), we get a palindrome (333304161403333).

The spelling of 332100130402100 in words is "three hundred thirty-two trillion, one hundred billion, one hundred thirty million, four hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1030 1117 2060 2234 2575 2741 4468 5150 5482 5585 10300 10531 10964 11170 13705 21062 22340 27410 27925 42124 52655 54820 55850 68525 105310 111700 115051 137050 210620 230102 263275 274100 282323 460204 526550 564646 575255 1053100 1084693 1129292 1150510 1411615 2169386 2301020 2823230 2876275 3061697 4338772 5423465 5646460 5752550 6123394 7058075 10846930 11505100 11763127 12246788 14116150 15308485 21693860 23526254 27117325 28232300 28865471 30616970 47052508 54234650 57730942 58815635 61233940 76542425 108469300 115461884 117631270 144327355 153084850 235262540 288654710 294078175 306169700 315354791 577309420 588156350 630709582 721636775 1176312700 1211602081 1261419164 1443273550 1576773955 2423204162 2886547100 2973143513 3153547910 4846408324 5946287026 6058010405 6307095820 7883869775 11892574052 12116020810 14865717565 15767739550 24232041620 29731435130 30290052025 31535479100 32242731107 59462870260 60580104050 64485462214 74328587825 121160208100 128970924428 148657175650 161213655535 297314351300 322427311070 644854622140 806068277675 1612136555350 3224273110700 3321001304021 6642002608042 13284005216084 16605006520105 33210013040210 66420026080420 83025032600525 166050065201050 332100130402100