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1100010505056 = 25314221805741
BaseRepresentation
bin10000000000011101101…
…111000100001101100000
310220011022121211110221220
4100000131233010031200
5121010310142130211
62201200550415040
7142321200006351
oct20003557041540
93804277743856
101100010505056
1139456a286661
12159233361480
137c966015998
143b352a3dd28
151d931878806
hex1001dbc4360

1100010505056 has 48 divisors (see below), whose sum is σ = 2887734206448. Its totient is φ = 366643929600.

The previous prime is 1100010505051. The next prime is 1100010505067. The reversal of 1100010505056 is 6505050100011.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×11000105050562 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100010505051) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 962346 + ... + 1768086.

It is an arithmetic number, because the mean of its divisors is an integer number (60161129301).

Almost surely, 21100010505056 is an apocalyptic number.

1100010505056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1100010505056 is an abundant number, since it is smaller than the sum of its proper divisors (1787723701392).

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

1100010505056 is a wasteful number, since it uses less digits than its factorization.

1100010505056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 819975 (or 819967 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 24.

Adding to 1100010505056 its reverse (6505050100011), we get a palindrome (7605060605067).

The spelling of 1100010505056 in words is "one trillion, one hundred billion, ten million, five hundred five thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 14221 28442 42663 56884 85326 113768 170652 227536 341304 455072 682608 805741 1365216 1611482 2417223 3222964 4834446 6445928 9668892 12891856 19337784 25783712 38675568 77351136 11458442761 22916885522 34375328283 45833771044 68750656566 91667542088 137501313132 183335084176 275002626264 366670168352 550005252528 1100010505056