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1050100100004 = 2231929317501001
BaseRepresentation
bin11110100011111101101…
…01111110101110100100
310201101111021121012111110
433101332311332232210
5114201101111200004
62122224225305020
7135603313401354
oct17217665765644
93641437535443
101050100100004
1137538814861a
1214b624495170
13780409b5727
1438b7a192b64
151c4aecd0589
hexf47ed7eba4

1050100100004 has 96 divisors (see below), whose sum is σ = 2676553084800. Its totient is φ = 319165056000.

The previous prime is 1050100100003. The next prime is 1050100100011. The reversal of 1050100100004 is 4000010010501.

It is a happy number.

It is a super-2 number, since 2×10501001000042 (a number of 25 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (1050100100003) 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, 1845504 + ... + 2346504.

It is an arithmetic number, because the mean of its divisors is an integer number (27880761300).

Almost surely, 21050100100004 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 1050100100004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1338276542400).

1050100100004 is an abundant number, since it is smaller than the sum of its proper divisors (1626452984796).

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

1050100100004 is a wasteful number, since it uses less digits than its factorization.

1050100100004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501373 (or 501371 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

Adding to 1050100100004 its reverse (4000010010501), we get a palindrome (5050110110505).

The spelling of 1050100100004 in words is "one trillion, fifty billion, one hundred million, one hundred thousand, four".

Divisors: 1 2 3 4 6 12 19 29 38 57 58 76 87 114 116 174 228 317 348 551 634 951 1102 1268 1653 1902 2204 3306 3804 6023 6612 9193 12046 18069 18386 24092 27579 36138 36772 55158 72276 110316 174667 349334 501001 524001 698668 1002002 1048002 1503003 2004004 2096004 3006006 6012012 9519019 14529029 19038038 28557057 29058058 38076076 43587087 57114114 58116116 87174174 114228228 158817317 174348348 276051551 317634634 476451951 552103102 635269268 828154653 952903902 1104206204 1656309306 1905807804 3017529023 3312618612 4605702193 6035058046 9052587069 9211404386 12070116092 13817106579 18105174138 18422808772 27634213158 36210348276 55268426316 87508341667 175016683334 262525025001 350033366668 525050050002 1050100100004