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1001055500100 = 2232521318784347
BaseRepresentation
bin11101001000100111000…
…11101011011101000100
310112200220021112101102100
432210103203223131010
5112400130202000400
62043513433312100
7132216042232545
oct16442343533504
93480807471370
101001055500100
113565aa806827
12142017565630
1373525b68706
14366466c04cc
151b08e25c100
hexe9138eb744

1001055500100 has 108 divisors (see below), whose sum is σ = 3138027997104. Its totient is φ = 266924725440.

The previous prime is 1001055500099. The next prime is 1001055500119. The reversal of 1001055500100 is 10055501001.

1001055500100 is a `hidden beast` number, since 1 + 0 + 0 + 10 + 5 + 550 + 0 + 100 = 666.

1001055500100 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10010555001002 (a number of 25 digits) contains 22 as substring.

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 35 ways as a sum of consecutive naturals, for example, 11826127 + ... + 11910473.

It is an arithmetic number, because the mean of its divisors is an integer number (29055814788).

Almost surely, 21001055500100 is an apocalyptic number.

1001055500100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1001055500100 is an abundant number, since it is smaller than the sum of its proper divisors (2136972497004).

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

1001055500100 is a wasteful number, since it uses less digits than its factorization.

1001055500100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97554 (or 97544 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 18.

Subtracting from 1001055500100 its reverse (10055501001), we obtain a palindrome (990999999099).

The spelling of 1001055500100 in words is "one trillion, one billion, fifty-five million, five hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 180 225 300 450 900 13187 26374 39561 52748 65935 79122 84347 118683 131870 158244 168694 197805 237366 253041 263740 329675 337388 395610 421735 474732 506082 593415 659350 759123 791220 843470 989025 1012164 1186830 1265205 1318700 1518246 1686940 1978050 2108675 2373660 2530410 2967075 3036492 3795615 3956100 4217350 5060820 5934150 6326025 7591230 8434700 11868300 12652050 15182460 18978075 25304100 37956150 75912300 1112283889 2224567778 3336851667 4449135556 5561419445 6673703334 10010555001 11122838890 13347406668 16684258335 20021110002 22245677780 27807097225 33368516670 40042220004 50052775005 55614194450 66737033340 83421291675 100105550010 111228388900 166842583350 200211100020 250263875025 333685166700 500527750050 1001055500100