Search a number
-
+
1011347364132 = 223275927571523
BaseRepresentation
bin11101011011110010000…
…00000001100100100100
310120200110112111020201200
432231321000001210210
5113032214411123012
62052335003522500
7133032062520210
oct16557100014444
93520415436650
101011347364132
1135aa01248586
1214400a229430
13744a61656a1
1436d414d9940
151b492a6d3dc
hexeb79001924

1011347364132 has 216 divisors, whose sum is σ = 2977909386816. Its totient is φ = 283497314688.

The previous prime is 1011347364107. The next prime is 1011347364161. The reversal of 1011347364132 is 2314637431101.

1011347364132 is a `hidden beast` number, since 1 + 0 + 1 + 1 + 3 + 4 + 7 + 3 + 641 + 3 + 2 = 666.

It is a super-2 number, since 2×10113473641322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 664048723 + ... + 664050245.

Almost surely, 21011347364132 is an apocalyptic number.

1011347364132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011347364132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1488954693408).

1011347364132 is an abundant number, since it is smaller than the sum of its proper divisors (1966562022684).

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

1011347364132 is a wasteful number, since it uses less digits than its factorization.

1011347364132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2415 (or 2351 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 1011347364132 in words is "one trillion, eleven billion, three hundred forty-seven million, three hundred sixty-four thousand, one hundred thirty-two".