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10031313104 = 242359736329
BaseRepresentation
bin10010101011110100…
…11011000011010000
3221220002200111121222
421111322123003100
5131021004004404
64335221504212
7503404516541
oct112572330320
927802614558
1010031313104
11428846200a
121b3b572068
13c3b332037
146b23944c8
153da9e5dbe
hex255e9b0d0

10031313104 has 80 divisors (see below), whose sum is σ = 20910268800. Its totient is φ = 4650928128.

The previous prime is 10031313091. The next prime is 10031313107. The reversal of 10031313104 is 40131313001.

It is a super-2 number, since 2×100313131042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10031313107) 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, 1581812 + ... + 1588140.

It is an arithmetic number, because the mean of its divisors is an integer number (261378360).

Almost surely, 210031313104 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 10031313104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10455134400).

10031313104 is an abundant number, since it is smaller than the sum of its proper divisors (10878955696).

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

10031313104 is a wasteful number, since it uses less digits than its factorization.

10031313104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6492 (or 6486 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10031313104 its reverse (40131313001), we get a palindrome (50162626105).

The spelling of 10031313104 in words is "ten billion, thirty-one million, three hundred thirteen thousand, one hundred four".

Divisors: 1 2 4 8 16 23 46 59 73 92 118 146 184 236 292 368 472 584 944 1168 1357 1679 2714 3358 4307 5428 6329 6716 8614 10856 12658 13432 17228 21712 25316 26864 34456 50632 68912 99061 101264 145567 198122 291134 373411 396244 462017 582268 746822 792488 924034 1164536 1493644 1584976 1848068 2329072 2987288 3696136 5974576 7392272 8588453 10626391 17176906 21252782 27259003 34353812 42505564 54518006 68707624 85011128 109036012 137415248 170022256 218072024 436144048 626957069 1253914138 2507828276 5015656552 10031313104