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1012132980 = 223255622961
BaseRepresentation
bin111100010100111…
…110110001110100
32121112111200102200
4330110332301310
54033101223410
6244233304500
734036663005
oct7424766164
92545450380
101012132980
1147a360541
12242b65130
131318c7871
14985c91ac
155dccb3c0
hex3c53ec74

1012132980 has 36 divisors (see below), whose sum is σ = 3070137252. Its totient is φ = 269902080.

The previous prime is 1012132967. The next prime is 1012132991. The reversal of 1012132980 is 892312101.

It can be written as a sum of positive squares in 2 ways, for example, as 725440356 + 286692624 = 26934^2 + 16932^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 2811301 + ... + 2811660.

Almost surely, 21012132980 is an apocalyptic number.

1012132980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012132980 is an abundant number, since it is smaller than the sum of its proper divisors (2058004272).

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

1012132980 is a wasteful number, since it uses less digits than its factorization.

1012132980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5622976 (or 5622971 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The square root of 1012132980 is about 31814.0374677594. The cubic root of 1012132980 is about 1004.0280794568.

The spelling of 1012132980 in words is "one billion, twelve million, one hundred thirty-two thousand, nine hundred eighty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 5622961 11245922 16868883 22491844 28114805 33737766 50606649 56229610 67475532 84344415 101213298 112459220 168688830 202426596 253033245 337377660 506066490 1012132980