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31130165445560 = 23517863145136559
BaseRepresentation
bin1110001010000000011100…
…11101000000001110111000
311002020000101202100221020022
413011000032131000032320
513040014034323224220
6150113000042550012
76362036343232166
oct705001635001670
9132200352327208
1031130165445560
119a12257917845
1235a9299508308
13144a73c95889c
147989cac48236
1538eb78b84925
hex1c500e7403b8

31130165445560 has 128 divisors (see below), whose sum is σ = 74302180761600. Its totient is φ = 11697624115200.

The previous prime is 31130165445553. The next prime is 31130165445583. The reversal of 31130165445560 is 6554456103113.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851486561 + ... + 851523119.

It is an arithmetic number, because the mean of its divisors is an integer number (580485787200).

Almost surely, 231130165445560 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 31130165445560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37151090380800).

31130165445560 is an abundant number, since it is smaller than the sum of its proper divisors (43172015316040).

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

31130165445560 is a wasteful number, since it uses less digits than its factorization.

31130165445560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38901 (or 38897 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 44.

The spelling of 31130165445560 in words is "thirty-one trillion, one hundred thirty billion, one hundred sixty-five million, four hundred forty-five thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 863 1451 1726 2902 3452 4315 5804 6904 7255 8630 11608 14510 14671 17260 24667 29020 29342 34520 36559 49334 58040 58684 73118 73355 98668 117368 123335 146236 146710 182795 197336 246670 292472 293420 365590 493340 586840 621503 731180 986680 1243006 1252213 1462360 2486012 2504426 3107515 4972024 5008852 6215030 6261065 10017704 12430060 12522130 21287621 24860120 25044260 31550417 42575242 50088520 53047109 63100834 85150484 106094218 106438105 126201668 157752085 170300968 212188436 212876210 252403336 265235545 315504170 424376872 425752420 530471090 536357089 631008340 851504840 901800853 1060942180 1072714178 1262016680 1803601706 2121884360 2145428356 2681785445 3607203412 4290856712 4509004265 5363570890 7214406824 9018008530 10727141780 18036017060 21454283560 36072034120 45779655067 91559310134 183118620268 228898275335 366237240536 457796550670 778254136139 915593101340 1556508272278 1831186202680 3113016544556 3891270680695 6226033089112 7782541361390 15565082722780 31130165445560