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32130121033101 = 37133492819119627
BaseRepresentation
bin1110100111000111000000…
…11100110110010110001101
311012202121110101012222021110
413103203200130312112031
513202404441441024401
6152200212425322233
76524216231414640
oct723434034662615
9135677411188243
1032130121033101
11a268342768a23
12372b048636379
1314c0b1b974360
147d116b40da57
153aaba15769d6
hex1d38e073658d

32130121033101 has 64 divisors (see below), whose sum is σ = 52896630528000. Its totient is φ = 16893059279616.

The previous prime is 32130121033057. The next prime is 32130121033111. The reversal of 32130121033101 is 10133012103123.

It is a happy number.

It is not a de Polignac number, because 32130121033101 - 223 = 32130112644493 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32130121033111) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 268526050 + ... + 268645676.

It is an arithmetic number, because the mean of its divisors is an integer number (826509852000).

Almost surely, 232130121033101 is an apocalyptic number.

It is an amenable number.

32130121033101 is a deficient number, since it is larger than the sum of its proper divisors (20766509494899).

32130121033101 is a wasteful number, since it uses less digits than its factorization.

32130121033101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122818.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 32130121033101 its reverse (10133012103123), we get a palindrome (42263133136224).

The spelling of 32130121033101 in words is "thirty-two trillion, one hundred thirty billion, one hundred twenty-one million, thirty-three thousand, one hundred one".

Divisors: 1 3 7 13 21 39 91 273 349 1047 2443 2819 4537 7329 8457 13611 19733 31759 36647 59199 95277 109941 119627 256529 358881 769587 837389 983831 1555151 2512167 2951493 4665453 6886817 10886057 12789803 20660451 32658171 38369409 41749823 89528621 125249469 268585863 292248761 337228513 542747699 876746283 1011685539 1628243097 2360599591 3799233893 4383970669 7081798773 11397701679 13151912007 30687794683 92063384049 117692751037 353078253111 823849257259 1530005763481 2471547771777 4590017290443 10710040344367 32130121033101