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10032000110132 = 227111317531429261
BaseRepresentation
bin1001000111111100000111…
…0011011000111000110100
31022112001100100002021111112
42101333001303120320310
52303331014012011012
633200345350254152
72053534212654110
oct221770163307064
938461310067445
1010032000110132
11321860258a430
121160328657358
1357a023a05b30
142697a1060740
15125e4e452122
hex91fc1cd8e34

10032000110132 has 96 divisors (see below), whose sum is σ = 23585155555584. Its totient is φ = 3605851468800.

The previous prime is 10032000110131. The next prime is 10032000110173. The reversal of 10032000110132 is 23101100023001.

10032000110132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10032000110131) 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, 6304382 + ... + 7733642.

It is an arithmetic number, because the mean of its divisors is an integer number (245678703704).

Almost surely, 210032000110132 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10032000110132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11792577777792).

10032000110132 is an abundant number, since it is smaller than the sum of its proper divisors (13553155445452).

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

10032000110132 is a wasteful number, since it uses less digits than its factorization.

10032000110132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431049 (or 1431047 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 10032000110132 its reverse (23101100023001), we get a palindrome (33133100133133).

The spelling of 10032000110132 in words is "ten trillion, thirty-two billion, one hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 4 7 11 13 14 22 26 28 44 52 77 91 143 154 182 286 308 364 572 1001 1753 2002 3506 4004 7012 12271 19283 22789 24542 38566 45578 49084 77132 91156 134981 159523 250679 269962 319046 501358 539924 638092 1002716 1429261 1754753 2858522 3509506 5717044 7019012 10004827 15721871 18580393 20009654 31443742 37160786 40019308 62887484 74321572 110053097 130062751 204384323 220106194 260125502 408768646 440212388 520251004 817537292 1430690261 2505494533 2861380522 5010989066 5722761044 10021978132 17538461731 27560439863 32571428929 35076923462 55120879726 65142857858 70153846924 110241759452 130285715716 192923079041 228000002503 358285718219 385846158082 456000005006 716571436438 771692316164 912000010012 1433142872876 2508000027533 5016000055066 10032000110132