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132022310110131 = 37313492141271409
BaseRepresentation
bin11110000001001011010110…
…111001011000001110110011
3122022110012122210021011100010
4132001023112321120032303
5114301023142342011011
61144442113442030003
736544203630053430
oct3601132671301663
9568405583234303
10132022310110131
1139080390273a61
1212982984648303
13588885bc9904c
142485cb1a74b87
15103e30b00e1a6
hex7812d6e583b3

132022310110131 has 64 divisors (see below), whose sum is σ = 208359502848000. Its totient is φ = 72764267673600.

The previous prime is 132022310110003. The next prime is 132022310110199. The reversal of 132022310110131 is 131011013220231.

132022310110131 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 132022310110131 - 27 = 132022310110003 is a prime.

It is a super-2 number, since 2×1320223101101312 (a number of 29 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 132022310110098 and 132022310110107.

It is not an unprimeable number, because it can be changed into a prime (132022310110331) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 486297355 + ... + 486568763.

It is an arithmetic number, because the mean of its divisors is an integer number (3255617232000).

Almost surely, 2132022310110131 is an apocalyptic number.

132022310110131 is a deficient number, since it is larger than the sum of its proper divisors (76337192737869).

132022310110131 is a wasteful number, since it uses less digits than its factorization.

132022310110131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 273940.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 132022310110131 its reverse (131011013220231), we get a palindrome (263033323330362).

The spelling of 132022310110131 in words is "one hundred thirty-two trillion, twenty-two billion, three hundred ten million, one hundred ten thousand, one hundred thirty-one".

Divisors: 1 3 7 21 31 93 217 349 651 1047 2141 2443 6423 7329 10819 14987 32457 44961 66371 75733 199113 227199 271409 464597 747209 814227 1393791 1899863 2241627 5230463 5699589 8413679 15691389 23163479 25241037 58895753 69490437 94721741 162144353 176687259 284165223 486433059 581086669 663052187 1743260007 1989156561 2936373971 4067606683 8809121913 12202820049 18013686739 20554617797 54041060217 61663853391 126095807173 202799247481 378287421519 608397742443 1419594732367 4258784197101 6286776671911 18860330015733 44007436703377 132022310110131