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11112442632 = 23321711038231
BaseRepresentation
bin10100101100101101…
…00110101100001000
31001200110000120112100
422112112212230020
5140224241131012
65034402113400
7542243126634
oct122626465410
931613016470
1011112442632
114792758695
1221a164b860
131081306755
14775bbddc4
154508a08dc
hex2965a6b08

11112442632 has 96 divisors (see below), whose sum is σ = 31899329280. Its totient is φ = 3482672640.

The previous prime is 11112442631. The next prime is 11112442669. The reversal of 11112442632 is 23624421111.

11112442632 is a `hidden beast` number, since 1 + 1 + 1 + 1 + 24 + 4 + 2 + 632 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11112442596 and 11112442605.

It is not an unprimeable number, because it can be changed into a prime (11112442631) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1345957 + ... + 1354187.

It is an arithmetic number, because the mean of its divisors is an integer number (332284680).

Almost surely, 211112442632 is an apocalyptic number.

11112442632 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 11112442632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15949664640).

11112442632 is an abundant number, since it is smaller than the sum of its proper divisors (20786886648).

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

11112442632 is a wasteful number, since it uses less digits than its factorization.

11112442632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9363 (or 9356 counting only the distinct ones).

The product of its digits is 2304, while the sum is 27.

Adding to 11112442632 its reverse (23624421111), we get a palindrome (34736863743).

The spelling of 11112442632 in words is "eleven billion, one hundred twelve million, four hundred forty-two thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1103 1224 2206 3309 4412 6618 8231 8824 9927 13236 16462 18751 19854 24693 26472 32924 37502 39708 49386 56253 65848 74079 75004 79416 98772 112506 139927 148158 150008 168759 197544 225012 279854 296316 337518 419781 450024 559708 592632 675036 839562 1119416 1259343 1350072 1679124 2518686 3358248 5037372 9078793 10074744 18157586 27236379 36315172 54472758 72630344 81709137 108945516 154339481 163418274 217891032 308678962 326836548 463018443 617357924 653673096 926036886 1234715848 1389055329 1852073772 2778110658 3704147544 5556221316 11112442632