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1013017224 = 2331989109229
BaseRepresentation
bin111100011000010…
…110101010001000
32121121011121101110
4330120112222020
54033313022344
6244304250320
734050334662
oct7430265210
92547147343
101013017224
1147a90491a
122433109a0
13131b4719b
1498779532
155de033b9
hex3c616a88

1013017224 has 128 divisors (see below), whose sum is σ = 2732400000. Its totient is φ = 312035328.

The previous prime is 1013017219. The next prime is 1013017253. The reversal of 1013017224 is 4227103101.

It is a super-2 number, since 2×10130172242 = 2052407792241332352, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1013017224.

It is an unprimeable number.

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, 4423542 + ... + 4423770.

It is an arithmetic number, because the mean of its divisors is an integer number (21346875).

Almost surely, 21013017224 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 1013017224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1366200000).

1013017224 is an abundant number, since it is smaller than the sum of its proper divisors (1719382776).

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

1013017224 is a wasteful number, since it uses less digits than its factorization.

1013017224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 451 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 21.

The square root of 1013017224 is about 31827.9315067756. The cubic root of 1013017224 is about 1004.3203820843.

The spelling of 1013017224 in words is "one billion, thirteen million, seventeen thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 89 109 114 152 178 218 228 229 267 327 356 436 456 458 534 654 687 712 872 916 1068 1308 1374 1691 1832 2071 2136 2616 2748 3382 4142 4351 5073 5496 6213 6764 8284 8702 9701 10146 12426 13053 13528 16568 17404 19402 20292 20381 24852 24961 26106 29103 34808 38804 40584 40762 49704 49922 52212 58206 61143 74883 77608 81524 99844 104424 116412 122286 149766 163048 184319 199688 232824 244572 299532 368638 387239 474259 489144 552957 599064 737276 774478 948518 1105914 1161717 1422777 1474552 1548956 1897036 2211828 2221529 2323434 2845554 3097912 3794072 4423656 4443058 4646868 5691108 6664587 8886116 9293736 11382216 13329174 17772232 26658348 42209051 53316696 84418102 126627153 168836204 253254306 337672408 506508612 1013017224