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210132311032120 = 235171916264110761
BaseRepresentation
bin101111110001110100111101…
…110000010100000100111000
31000120000110020001102011002211
4233301310331300110010320
5210020301433111011440
62022525241231104504
762155362362126341
oct5761647560240470
91016013201364084
10210132311032120
1160a556814920a4
121b699071972134
139033513027649
1439c665b11d0c8
151946054b95eea
hexbf1d3dc14138

210132311032120 has 64 divisors (see below), whose sum is σ = 526957188688800. Its totient is φ = 74945022382080.

The previous prime is 210132311032109. The next prime is 210132311032121. The reversal of 210132311032120 is 21230113231012.

210132311032120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 210132311032091 and 210132311032100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (210132311032121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8132042461 + ... + 8132068300.

Almost surely, 2210132311032120 is an apocalyptic number.

210132311032120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210132311032120 is an abundant number, since it is smaller than the sum of its proper divisors (316824877656680).

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

210132311032120 is a wasteful number, since it uses less digits than its factorization.

210132311032120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16264110808 (or 16264110804 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 210132311032120 its reverse (21230113231012), we get a palindrome (231362424263132).

The spelling of 210132311032120 in words is "two hundred ten trillion, one hundred thirty-two billion, three hundred eleven million, thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 17 19 20 34 38 40 68 76 85 95 136 152 170 190 323 340 380 646 680 760 1292 1615 2584 3230 6460 12920 16264110761 32528221522 65056443044 81320553805 130112886088 162641107610 276489882937 309018104459 325282215220 552979765874 618036208918 650564430440 1105959531748 1236072417836 1382449414685 1545090522295 2211919063496 2472144835672 2764898829370 3090181044590 5253307775803 5529797658740 6180362089180 10506615551606 11059595317480 12360724178360 21013231103212 26266538879015 42026462206424 52533077758030 105066155516060 210132311032120