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10154502100 = 2252101545021
BaseRepresentation
bin10010111010100000…
…10110011111010100
3222012200111011011101
421131100112133110
5131244023031400
64355342115444
7506431562251
oct113520263724
928180434141
1010154502100
114340a517a6
121b7487bb84
13c5aa04632
146c48a0428
153e672b56a
hex25d4167d4

10154502100 has 18 divisors (see below), whose sum is σ = 22035269774. Its totient is φ = 4061800800.

The previous prime is 10154502089. The next prime is 10154502109. The reversal of 10154502100 is 120545101.

10154502100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 86787856 + 10067714244 = 9316^2 + 100338^2 .

It is a super-2 number, since 2×101545021002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10154502109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 50772411 + ... + 50772610.

Almost surely, 210154502100 is an apocalyptic number.

10154502100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10154502100 is an abundant number, since it is smaller than the sum of its proper divisors (11880767674).

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

10154502100 is a wasteful number, since it uses less digits than its factorization.

10154502100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101545035 (or 101545028 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 19.

The spelling of 10154502100 in words is "ten billion, one hundred fifty-four million, five hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101545021 203090042 406180084 507725105 1015450210 2030900420 2538625525 5077251050 10154502100