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1113237132 = 2237192692593
BaseRepresentation
bin100001001011010…
…1010011010001100
32212120202022020220
41002112222122030
54234442042012
6302244311340
736405234210
oct10226523214
92776668226
101113237132
11521436597
122709a2550
13149836ac7
14a7bc6940
1567aed08c
hex425aa68c

1113237132 has 96 divisors (see below), whose sum is σ = 3137702400. Its totient is φ = 300091392.

The previous prime is 1113237131. The next prime is 1113237133. The reversal of 1113237132 is 2317323111.

It is an interprime number because it is at equal distance from previous prime (1113237131) and next prime (1113237133).

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

It is not an unprimeable number, because it can be changed into a prime (1113237131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 428028 + ... + 430620.

It is an arithmetic number, because the mean of its divisors is an integer number (32684400).

Almost surely, 21113237132 is an apocalyptic number.

1113237132 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 1113237132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1568851200).

1113237132 is an abundant number, since it is smaller than the sum of its proper divisors (2024465268).

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

1113237132 is a wasteful number, since it uses less digits than its factorization.

1113237132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2895 (or 2893 counting only the distinct ones).

The product of its digits is 756, while the sum is 24.

The square root of 1113237132 is about 33365.2084063625. The cubic root of 1113237132 is about 1036.4043518826.

The spelling of 1113237132 in words is "one billion, one hundred thirteen million, two hundred thirty-seven thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 57 76 84 114 133 228 266 269 399 532 538 798 807 1076 1596 1614 1883 2593 3228 3766 5111 5186 5649 7532 7779 10222 10372 11298 15333 15558 18151 20444 22596 30666 31116 35777 36302 49267 54453 61332 71554 72604 98534 107331 108906 143108 147801 197068 214662 217812 295602 344869 429324 591204 689738 697517 1034607 1379476 1395034 2069214 2092551 2790068 4138428 4185102 4882619 8370204 9765238 13252823 14647857 19530476 26505646 29295714 39758469 53011292 58591428 79516938 92769761 159033876 185539522 278309283 371079044 556618566 1113237132