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210132311032122 = 234715135711381901
BaseRepresentation
bin101111110001110100111101…
…110000010100000100111010
31000120000110020001102011002220
4233301310331300110010322
5210020301433111011442
62022525241231104510
762155362362126343
oct5761647560240472
91016013201364086
10210132311032122
1160a556814920a6
121b699071972136
13903351302764b
1439c665b11d0ca
151946054b95eec
hexbf1d3dc1413a

210132311032122 has 64 divisors (see below), whose sum is σ = 432170150105088. Its totient is φ = 68080685400000.

The previous prime is 210132311032121. The next prime is 210132311032151. The reversal of 210132311032122 is 221230113231012.

It is a super-3 number, since 3×2101323110321223 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 210132311032092 and 210132311032101.

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 31 ways as a sum of consecutive naturals, for example, 151369372 + ... + 152751272.

It is an arithmetic number, because the mean of its divisors is an integer number (6752658595392).

Almost surely, 2210132311032122 is an apocalyptic number.

210132311032122 is an abundant number, since it is smaller than the sum of its proper divisors (222037839072966).

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

210132311032122 is a wasteful number, since it uses less digits than its factorization.

210132311032122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385675.

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 210132311032122 its reverse (221230113231012), we get a palindrome (431362424263134).

The spelling of 210132311032122 in words is "two hundred ten trillion, one hundred thirty-two billion, three hundred eleven million, thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 47 94 141 151 282 302 453 906 3571 7097 7142 10713 14194 21291 21426 42582 167837 335674 503511 539221 1007022 1078442 1381901 1617663 2763802 3235326 4145703 8291406 25343387 50686774 64949347 76030161 129898694 152060322 194848041 208667051 389696082 417334102 626001153 1252002306 4934768471 9807351397 9869536942 14804305413 19614702794 29422054191 29608610826 58844108382 231934118137 463868236274 695802354411 745150039121 1391604708822 1490300078242 2235450117363 4470900234726 35022051838687 70044103677374 105066155516061 210132311032122