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11131379712 = 21332150979
BaseRepresentation
bin10100101110111101…
…10110000000000000
31001201202122200022200
422113132312000000
5140244113122322
65040320033200
7542563111035
oct122736660000
931652580280
1011131379712
1147a2412372
1221a7a62800
13108520711b
1477850d38c
154523918ac
hex2977b6000

11131379712 has 84 divisors (see below), whose sum is σ = 32155569420. Its totient is φ = 3710435328.

The previous prime is 11131379681. The next prime is 11131379719. The reversal of 11131379712 is 21797313111.

It is a super-2 number, since 2×111313797122 (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11131379719) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1762 + ... + 149217.

Almost surely, 211131379712 is an apocalyptic number.

11131379712 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 11131379712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16077784710).

11131379712 is an abundant number, since it is smaller than the sum of its proper divisors (21024189708).

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

11131379712 is an equidigital number, since it uses as much as digits as its factorization.

11131379712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151011 (or 150984 counting only the distinct ones).

The product of its digits is 7938, while the sum is 36.

The spelling of 11131379712 in words is "eleven billion, one hundred thirty-one million, three hundred seventy-nine thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 18432 24576 36864 73728 150979 301958 452937 603916 905874 1207832 1358811 1811748 2415664 2717622 3623496 4831328 5435244 7246992 9662656 10870488 14493984 19325312 21740976 28987968 38650624 43481952 57975936 77301248 86963904 115951872 154602496 173927808 231903744 309204992 347855616 463807488 618409984 695711232 927614976 1236819968 1391422464 1855229952 2782844928 3710459904 5565689856 11131379712