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11312101332 = 2234743193601
BaseRepresentation
bin10101000100100000…
…01111011111010100
31002012100201021210000
422202100033133110
5141131344220312
65110253331300
7550216163160
oct124220173724
932170637700
1011312101332
114885428184
122238496b30
1310b37a15ac
14794513ca0
1546318dadc
hex2a240f7d4

11312101332 has 240 divisors, whose sum is σ = 34819641472. Its totient is φ = 3135283200.

The previous prime is 11312101331. The next prime is 11312101391. The reversal of 11312101332 is 23310121311.

11312101332 is a `hidden beast` number, since 11 + 312 + 10 + 1 + 332 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312101331) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 18821832 + ... + 18822432.

Almost surely, 211312101332 is an apocalyptic number.

11312101332 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 11312101332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17409820736).

11312101332 is an abundant number, since it is smaller than the sum of its proper divisors (23507540140).

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

11312101332 is a wasteful number, since it uses less digits than its factorization.

11312101332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 849 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11312101332 its reverse (23310121311), we get a palindrome (34622222643).

The spelling of 11312101332 in words is "eleven billion, three hundred twelve million, one hundred one thousand, three hundred thirty-two".