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11230311400 = 23527117110271
BaseRepresentation
bin10100111010110000…
…01111001111101000
31001222122210221002021
422131120033033220
5140444424431100
65054212314224
7545204033440
oct123530171750
931878727067
1011230311400
1148432441a0
122215012974
13109c865599
14787703120
1545add4a1a
hex29d60f3e8

11230311400 has 192 divisors, whose sum is σ = 33015029760. Its totient is φ = 3450720000.

The previous prime is 11230311397. The next prime is 11230311413. The reversal of 11230311400 is 411303211.

It is a super-2 number, since 2×112303114002 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1088265 + ... + 1098535.

It is an arithmetic number, because the mean of its divisors is an integer number (171953280).

Almost surely, 211230311400 is an apocalyptic number.

11230311400 is a gapful number since it is divisible by the number (10) 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 11230311400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16507514880).

11230311400 is an abundant number, since it is smaller than the sum of its proper divisors (21784718360).

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

11230311400 is a wasteful number, since it uses less digits than its factorization.

11230311400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10376 (or 10367 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 11230311400 its reverse (411303211), we get a palindrome (11641614611).

The spelling of 11230311400 in words is "eleven billion, two hundred thirty million, three hundred eleven thousand, four hundred".