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1010505051100 = 2252293316910883
BaseRepresentation
bin11101011010001101100…
…10110110101111011100
310120121021211112022110201
432231012302312233130
5113024003243113400
62052115234113244
7133002154133116
oct16550662665734
93517254468421
101010505051100
1135a609837306
12143a1411b824
13743a07b91cc
1436ca16b83b6
151b443b3906a
hexeb46cb6bdc

1010505051100 has 72 divisors (see below), whose sum is σ = 2201176459440. Its totient is φ = 402658375680.

The previous prime is 1010505051089. The next prime is 1010505051103. The reversal of 1010505051100 is 11505050101.

It is a happy number.

It is a super-2 number, since 2×10105050511002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010505051103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 92846259 + ... + 92857141.

It is an arithmetic number, because the mean of its divisors is an integer number (30571895270).

Almost surely, 21010505051100 is an apocalyptic number.

1010505051100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010505051100 is an abundant number, since it is smaller than the sum of its proper divisors (1190671408340).

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

1010505051100 is a wasteful number, since it uses less digits than its factorization.

1010505051100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14359 (or 14352 counting only the distinct ones).

The product of its (nonzero) digits is 125, while the sum is 19.

Subtracting from 1010505051100 its reverse (11505050101), we obtain a palindrome (999000000999).

The spelling of 1010505051100 in words is "one trillion, ten billion, five hundred five million, fifty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 293 586 1172 1465 2930 3169 5860 6338 7325 10883 12676 14650 15845 21766 29300 31690 43532 54415 63380 79225 108830 158450 217660 272075 316900 544150 928517 1088300 1857034 3188719 3714068 4642585 6377438 9285170 12754876 15943595 18570340 23212925 31887190 34488227 46425850 63774380 68976454 79717975 92851700 137952908 159435950 172441135 318871900 344882270 689764540 862205675 1724411350 3448822700 10105050511 20210101022 40420202044 50525252555 101050505110 202101010220 252626262775 505252525550 1010505051100