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1012113312 = 25371506121
BaseRepresentation
bin111100010100111…
…001111110100000
32121112110200110020
4330110321332200
54033100111222
6244233033440
734036551450
oct7424717640
92545420406
101012113312
1147a347791
12242b55880
131318bb922
14985c1d60
155dcc565c
hex3c539fa0

1012113312 has 48 divisors (see below), whose sum is σ = 3036341952. Its totient is φ = 289175040.

The previous prime is 1012113301. The next prime is 1012113313. The reversal of 1012113312 is 2133112101.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 1012113291 and 1012113300.

It is not an unprimeable number, because it can be changed into a prime (1012113313) 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, 752389 + ... + 753732.

It is an arithmetic number, because the mean of its divisors is an integer number (63257124).

Almost surely, 21012113312 is an apocalyptic number.

1012113312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1012113312 is an abundant number, since it is smaller than the sum of its proper divisors (2024228640).

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

1012113312 is a wasteful number, since it uses less digits than its factorization.

1012113312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506141 (or 1506133 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

The square root of 1012113312 is about 31813.7283574246. The cubic root of 1012113312 is about 1004.0215759134.

Adding to 1012113312 its reverse (2133112101), we get a palindrome (3145225413).

The spelling of 1012113312 in words is "one billion, twelve million, one hundred thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1506121 3012242 4518363 6024484 9036726 10542847 12048968 18073452 21085694 24097936 31628541 36146904 42171388 48195872 63257082 72293808 84342776 126514164 144587616 168685552 253028328 337371104 506056656 1012113312