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4331123104 = 257118212141
BaseRepresentation
bin1000000100010011…
…11011000110100000
3102011211202211221211
410002021323012200
532332231414404
61553434555504
7212220640030
oct40211730640
912154684854
104331123104
111922895990
12a0a598b94
135403c8749
142d13098c0
151a5380b04
hex10227b1a0

4331123104 has 96 divisors (see below), whose sum is σ = 10648858752. Its totient is φ = 1684608000.

The previous prime is 4331123053. The next prime is 4331123113. The reversal of 4331123104 is 4013211334.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2021874 + ... + 2024014.

It is an arithmetic number, because the mean of its divisors is an integer number (110925612).

Almost surely, 24331123104 is an apocalyptic number.

4331123104 is a gapful number since it is divisible by the number (44) 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 4331123104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5324429376).

4331123104 is an abundant number, since it is smaller than the sum of its proper divisors (6317735648).

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

4331123104 is a wasteful number, since it uses less digits than its factorization.

4331123104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2990 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 4331123104 is about 65811.2688222921. The cubic root of 4331123104 is about 1630.0471844522.

Adding to 4331123104 its reverse (4013211334), we get a palindrome (8344334438).

The spelling of 4331123104 in words is "four billion, three hundred thirty-one million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 77 88 112 154 176 224 308 352 616 821 1232 1642 2141 2464 3284 4282 5747 6568 8564 9031 11494 13136 14987 17128 18062 22988 23551 26272 29974 34256 36124 45976 47102 59948 63217 68512 72248 91952 94204 119896 126434 144496 164857 183904 188408 239792 252868 288992 329714 376816 479584 505736 659428 753632 1011472 1318856 1757761 2022944 2637712 3515522 5275424 7031044 12304327 14062088 19335371 24608654 28124176 38670742 49217308 56248352 77341484 98434616 135347597 154682968 196869232 270695194 309365936 393738464 541390388 618731872 1082780776 2165561552 4331123104