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10011501225 = 3252114045051
BaseRepresentation
bin10010101001011101…
…10110001010101001
3221211201101221211200
421110232312022221
5131000421014400
64333233114413
7503044233135
oct112456661251
927751357750
1010011501225
114278260060
121b349b8a09
13c371b642b
146ad8b83c5
153d8dd0b00
hex254bb62a9

10011501225 has 36 divisors (see below), whose sum is σ = 19561871472. Its totient is φ = 4854060000.

The previous prime is 10011501221. The next prime is 10011501281. The reversal of 10011501225 is 52210511001.

10011501225 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10011501225 - 22 = 10011501221 is a prime.

It is a super-4 number, since 4×100115012254 (a number of 41 digits) contains 4444 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10011501198 and 10011501207.

It is not an unprimeable number, because it can be changed into a prime (10011501221) 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 35 ways as a sum of consecutive naturals, for example, 2020051 + ... + 2025000.

Almost surely, 210011501225 is an apocalyptic number.

10011501225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10011501225 is a deficient number, since it is larger than the sum of its proper divisors (9550370247).

10011501225 is a wasteful number, since it uses less digits than its factorization.

10011501225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4045078 (or 4045070 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The spelling of 10011501225 in words is "ten billion, eleven million, five hundred one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 55 75 99 165 225 275 495 825 2475 4045051 12135153 20225255 36405459 44495561 60675765 101126275 133486683 182027295 222477805 303378825 400460049 667433415 910136475 1112389025 2002300245 3337167075 10011501225