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10002103421004 = 22373307345739
BaseRepresentation
bin1001000110001100101111…
…0100100100100001001100
31022102012011210012010000000
42101203023310210201030
52302333301433433004
633134523004404300
72051425306210122
oct221431364444114
938365153163000
1010002103421004
113206960699392
121156584246690
1357726ab73536
14268166629912
1512529e933c39
hex918cbd2484c

10002103421004 has 96 divisors (see below), whose sum is σ = 26259533843200. Its totient is φ = 3333016658448.

The previous prime is 10002103420961. The next prime is 10002103421027. The reversal of 10002103421004 is 40012430120001.

10002103421004 is a `hidden beast` number, since 10 + 0 + 0 + 210 + 342 + 100 + 4 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28756767 + ... + 29102505.

Almost surely, 210002103421004 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 10002103421004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13129766921600).

10002103421004 is an abundant number, since it is smaller than the sum of its proper divisors (16257430422196).

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

10002103421004 is an equidigital number, since it uses as much as digits as its factorization.

10002103421004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 349071 (or 349051 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10002103421004 its reverse (40012430120001), we get a palindrome (50014533541005).

The spelling of 10002103421004 in words is "ten trillion, two billion, one hundred three million, four hundred twenty-one thousand, four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 972 1458 2187 2916 3307 4374 6614 8748 9921 13228 19842 29763 39684 59526 89289 119052 178578 267867 345739 357156 535734 691478 803601 1037217 1071468 1382956 1607202 2074434 2410803 3111651 3214404 4148868 4821606 6223302 7232409 9334953 9643212 12446604 14464818 18669906 28004859 28929636 37339812 56009718 84014577 112019436 168029154 252043731 336058308 504087462 756131193 1008174924 1143358873 1512262386 2286717746 3024524772 3430076619 4573435492 6860153238 10290229857 13720306476 20580459714 30870689571 41160919428 61741379142 92612068713 123482758284 185224137426 277836206139 370448274852 555672412278 833508618417 1111344824556 1667017236834 2500525855251 3334034473668 5001051710502 10002103421004