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10310134404132 = 22325989487111197
BaseRepresentation
bin1001011000001000001111…
…1001100001010000100100
31100111122020222211100111200
42112002003321201100210
52322410123401413012
633532224345402500
72112611512314453
oct226020371412044
940448228740450
1010310134404132
11331555a0a5122
1211a620b199430
1359a31a772864
142790281bcb9a
1512d2cc1ad3dc
hex96083e61424

10310134404132 has 144 divisors (see below), whose sum is σ = 26809140758400. Its totient is φ = 3339517800960.

The previous prime is 10310134404113. The next prime is 10310134404133. The reversal of 10310134404132 is 23140443101301.

10310134404132 is a `hidden beast` number, since 1 + 0 + 310 + 1 + 344 + 0 + 4 + 1 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10310134404096 and 10310134404105.

It is not an unprimeable number, because it can be changed into a prime (10310134404133) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 920788758 + ... + 920799954.

It is an arithmetic number, because the mean of its divisors is an integer number (186174588600).

Almost surely, 210310134404132 is an apocalyptic number.

10310134404132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10310134404132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13404570379200).

10310134404132 is an abundant number, since it is smaller than the sum of its proper divisors (16499006354268).

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

10310134404132 is a wasteful number, since it uses less digits than its factorization.

10310134404132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16226 (or 16221 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 10310134404132 its reverse (23140443101301), we get a palindrome (33450577505433).

The spelling of 10310134404132 in words is "ten trillion, three hundred ten billion, one hundred thirty-four million, four hundred four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 59 89 118 177 178 236 267 354 356 531 534 708 801 1062 1068 1602 2124 3204 4871 5251 9742 10502 11197 14613 15753 19484 21004 22394 29226 31506 33591 43839 44788 47259 58452 63012 67182 87678 94518 100773 134364 175356 189036 201546 287389 403092 433519 574778 660623 862167 867038 996533 1149556 1300557 1321246 1724334 1734076 1981869 1993066 2586501 2601114 2642492 2989599 3448668 3901671 3963738 3986132 5173002 5202228 5945607 5979198 7803342 7927476 8968797 10346004 11891214 11958396 15606684 17937594 23782428 25577621 35875188 51155242 54540587 58795447 76732863 102310484 109081174 117590894 153465726 163621761 176386341 218162348 230198589 235181788 306931452 327243522 352772682 460397178 490865283 529159023 654487044 705545364 920794356 981730566 1058318046 1963461132 2116636092 3217894633 4854112243 6435789266 9653683899 9708224486 12871578532 14562336729 19307367798 19416448972 28961051697 29124673458 38614735596 43687010187 57922103394 58249346916 87374020374 115844206788 174748040748 286392622337 572785244674 859177867011 1145570489348 1718355734022 2577533601033 3436711468044 5155067202066 10310134404132