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1010610051100 = 2252131914070117
BaseRepresentation
bin11101011010011010000…
…11011001100000011100
310120121120011002212101121
432231031003121200130
5113024212133113400
62052133504420324
7133004600461426
oct16551503314034
93517504085347
101010610051100
1135a663033371
12143a433176a4
13743b94907a0
1436cb160b816
151b44ce7a21a
hexeb4d0d981c

1010610051100 has 72 divisors (see below), whose sum is σ = 2374083548928. Its totient is φ = 371194579200.

The previous prime is 1010610051049. The next prime is 1010610051109. The reversal of 1010610051100 is 11500160101.

It is a super-2 number, since 2×10106100511002 (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 (1010610051109) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 1786759 + ... + 2283358.

It is an arithmetic number, because the mean of its divisors is an integer number (32973382624).

Almost surely, 21010610051100 is an apocalyptic number.

1010610051100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010610051100 is an abundant number, since it is smaller than the sum of its proper divisors (1363473497828).

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

1010610051100 is a wasteful number, since it uses less digits than its factorization.

1010610051100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4070335 (or 4070328 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 16.

The spelling of 1010610051100 in words is "one trillion, ten billion, six hundred ten million, fifty-one thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 191 260 325 382 650 764 955 1300 1910 2483 3820 4775 4966 9550 9932 12415 19100 24830 49660 62075 124150 248300 4070117 8140234 16280468 20350585 40701170 52911521 81402340 101752925 105823042 203505850 211646084 264557605 407011700 529115210 777392347 1058230420 1322788025 1554784694 2645576050 3109569388 3886961735 5291152100 7773923470 10106100511 15547846940 19434808675 20212201022 38869617350 40424402044 50530502555 77739234700 101061005110 202122010220 252652512775 505305025550 1010610051100