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100001401032 = 233132632814337
BaseRepresentation
bin101110100100010001…
…1000100100011001000
3100120010021021112002210
41131020203010203020
53114300324313112
6113535013025120
710140061612101
oct1351043044310
9316107245083
10100001401032
1139457202785
121746a3251a0
139578bb0360
144ba93073a8
152904414b3c
hex17488c48c8

100001401032 has 128 divisors (see below), whose sum is σ = 271282556160. Its totient is φ = 30536540160.

The previous prime is 100001401021. The next prime is 100001401039. The reversal of 100001401032 is 230104100001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100001400999 and 100001401017.

It is not an unprimeable number, because it can be changed into a prime (100001401039) 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, 23055568 + ... + 23059904.

It is an arithmetic number, because the mean of its divisors is an integer number (2119394970).

Almost surely, 2100001401032 is an apocalyptic number.

100001401032 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 100001401032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135641278080).

100001401032 is an abundant number, since it is smaller than the sum of its proper divisors (171281155128).

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

100001401032 is a wasteful number, since it uses less digits than its factorization.

100001401032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4903 (or 4899 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100001401032 its reverse (230104100001), we get a palindrome (330105501033).

The spelling of 100001401032 in words is "one hundred billion, one million, four hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 263 281 312 526 562 789 843 1052 1124 1578 1686 2104 2248 3156 3372 3419 3653 4337 6312 6744 6838 7306 8674 10257 10959 13011 13676 14612 17348 20514 21918 26022 27352 29224 34696 41028 43836 52044 56381 73903 82056 87672 104088 112762 147806 169143 221709 225524 295612 338286 443418 451048 591224 676572 886836 960739 1140631 1218697 1353144 1773672 1921478 2281262 2437394 2882217 3421893 3656091 3842956 4562524 4874788 5764434 6843786 7312182 7685912 9125048 9749576 11528868 13687572 14624364 14828203 15843061 23057736 27375144 29248728 29656406 31686122 44484609 47529183 59312812 63372244 88969218 95058366 118625624 126744488 177938436 190116732 320517311 355876872 380233464 641034622 961551933 1282069244 1923103866 2564138488 3846207732 4166725043 7692415464 8333450086 12500175129 16666900172 25000350258 33333800344 50000700516 100001401032