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101230013002032 = 24331459160609139
BaseRepresentation
bin10111000001000101110010…
…111101110011000100110000
3111021102111100122210010002000
4113001011302331303010300
5101232023031312031112
6555144232002054000
730215425043146035
oct2701056275630460
9437374318703060
10101230013002032
112a289453307982
12b42b07a64a300
134463c456c8b45
141add7b73ab38c
15ba83593017dc
hex5c1172f73130

101230013002032 has 80 divisors (see below), whose sum is σ = 290766787056000. Its totient is φ = 33720209741376.

The previous prime is 101230013001991. The next prime is 101230013002033. The reversal of 101230013002032 is 230200310032101.

101230013002032 is a `hidden beast` number, since 1 + 0 + 12 + 300 + 1 + 300 + 20 + 32 = 666.

It is a super-2 number, since 2×1012300130020322 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101230013001996 and 101230013002014.

It is not an unprimeable number, because it can be changed into a prime (101230013002033) 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, 79674282 + ... + 80934857.

It is an arithmetic number, because the mean of its divisors is an integer number (3634584838200).

Almost surely, 2101230013002032 is an apocalyptic number.

101230013002032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101230013002032 is an abundant number, since it is smaller than the sum of its proper divisors (189536774053968).

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

101230013002032 is a wasteful number, since it uses less digits than its factorization.

101230013002032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160610615 (or 160610603 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101230013002032 its reverse (230200310032101), we get a palindrome (331430323034133).

The spelling of 101230013002032 in words is "one hundred one trillion, two hundred thirty billion, thirteen million, two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 1459 2918 4377 5836 8754 11672 13131 17508 23344 26262 35016 39393 52524 70032 78786 105048 157572 210096 315144 630288 160609139 321218278 481827417 642436556 963654834 1284873112 1445482251 1927309668 2569746224 2890964502 3854619336 4336446753 5781929004 7709238672 8672893506 11563858008 17345787012 23127716016 34691574024 69383148048 234328733801 468657467602 702986201403 937314935204 1405972402806 1874629870408 2108958604209 2811944805612 3749259740816 4217917208418 5623889611224 6326875812627 8435834416836 11247779222448 12653751625254 16871668833672 25307503250508 33743337667344 50615006501016 101230013002032