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11312042104 = 2311318115113
BaseRepresentation
bin10101000100100000…
…00001000001111000
31002012100121021112101
422202100001001320
5141131340321404
65110252153144
7550215525406
oct124220010170
932170537471
1011312042104
114885397730
1222384687b4
1310b378064c
147944da476
1546317b2a4
hex2a2401078

11312042104 has 64 divisors (see below), whose sum is σ = 23918791680. Its totient is φ = 4968864000.

The previous prime is 11312042089. The next prime is 11312042107. The reversal of 11312042104 is 40124021311.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11312042107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2209852 + ... + 2214964.

It is an arithmetic number, because the mean of its divisors is an integer number (373731120).

Almost surely, 211312042104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11312042104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11959395840).

11312042104 is an abundant number, since it is smaller than the sum of its proper divisors (12606749576).

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

11312042104 is a wasteful number, since it uses less digits than its factorization.

11312042104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5972 (or 5968 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 11312042104 its reverse (40124021311), we get a palindrome (51436063415).

It can be divided in two parts, 11312042 and 104, that added together give a triangular number (11312146 = T4756).

The spelling of 11312042104 in words is "eleven billion, three hundred twelve million, forty-two thousand, one hundred four".

Divisors: 1 2 4 8 11 22 31 44 62 88 124 248 341 682 811 1364 1622 2728 3244 5113 6488 8921 10226 17842 20452 25141 35684 40904 50282 56243 71368 100564 112486 158503 201128 224972 276551 317006 449944 553102 634012 1106204 1268024 1743533 2212408 3487066 4146643 6974132 8293286 13948264 16586572 33173144 45613073 91226146 128545933 182452292 257091866 364904584 514183732 1028367464 1414005263 2828010526 5656021052 11312042104