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100110001001000 = 2353313229354871
BaseRepresentation
bin10110110000110010101101…
…000011000101001000101000
3111010110102102002121100202212
4112300302231003011020220
5101110200240224013000
6552525522145544252
730041465102212124
oct2660625503051050
9433412362540685
10100110001001000
112999745a780361
12b289ba4945088
1343b2442903653
141aa14c81b6584
15b89156a13c35
hex5b0cad0c5228

100110001001000 has 64 divisors (see below), whose sum is σ = 241814092815360. Its totient is φ = 38752258440000.

The previous prime is 100110001000993. The next prime is 100110001001039. The reversal of 100110001001000 is 100100011001.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1614646436 + ... + 1614708435.

It is an arithmetic number, because the mean of its divisors is an integer number (3778345200240).

Almost surely, 2100110001001000 is an apocalyptic number.

100110001001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100110001001000 is an abundant number, since it is smaller than the sum of its proper divisors (141704091814360).

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

100110001001000 is a wasteful number, since it uses less digits than its factorization.

100110001001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3229354923 (or 3229354909 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 100110001001000 its reverse (100100011001), we get a palindrome (100210101012001).

The spelling of 100110001001000 in words is "one hundred trillion, one hundred ten billion, one million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 125 155 200 248 250 310 500 620 775 1000 1240 1550 3100 3875 6200 7750 15500 31000 3229354871 6458709742 12917419484 16146774355 25834838968 32293548710 64587097420 80733871775 100110001001 129174194840 161467743550 200220002002 322935487100 400440004004 403669358875 500550005005 645870974200 800880008008 807338717750 1001100010010 1614677435500 2002200020020 2502750025025 3229354871000 4004400040040 5005500050050 10011000100100 12513750125125 20022000200200 25027500250250 50055000500500 100110001001000