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101130351504 = 243713107216379
BaseRepresentation
bin101111000101111010…
…1101011001110010000
3100200000221121011000020
41132023311223032100
53124103332222004
6114243022223440
710210050542640
oct1361365531620
9320027534006
10101130351504
11399864a09a6
1217724424b80
1396c8a593a0
144c75220520
15296d5b88d9
hex178bd6b390

101130351504 has 160 divisors (see below), whose sum is σ = 324549227520. Its totient is φ = 26422350336.

The previous prime is 101130351481. The next prime is 101130351523. The reversal of 101130351504 is 405153031101.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 359187 + ... + 575565.

It is an arithmetic number, because the mean of its divisors is an integer number (2028432672).

Almost surely, 2101130351504 is an apocalyptic number.

101130351504 is a gapful number since it is divisible by the number (14) 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 101130351504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162274613760).

101130351504 is an abundant number, since it is smaller than the sum of its proper divisors (223418876016).

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

101130351504 is a wasteful number, since it uses less digits than its factorization.

101130351504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 216517 (or 216511 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 101130351504 its reverse (405153031101), we get a palindrome (506283382605).

The spelling of 101130351504 in words is "one hundred one billion, one hundred thirty million, three hundred fifty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 39 42 48 52 56 78 84 91 104 107 112 156 168 182 208 214 273 312 321 336 364 428 546 624 642 728 749 856 1092 1284 1391 1456 1498 1712 2184 2247 2568 2782 2996 4173 4368 4494 5136 5564 5992 8346 8988 9737 11128 11984 16692 17976 19474 22256 29211 33384 35952 38948 58422 66768 77896 116844 155792 216379 233688 432758 467376 649137 865516 1298274 1514653 1731032 2596548 2812927 3029306 3462064 4543959 5193096 5625854 6058612 8438781 9087918 10386192 11251708 12117224 16877562 18175836 19690489 22503416 23152553 24234448 33755124 36351672 39380978 45006832 46305106 59071467 67510248 69457659 72703344 78761956 92610212 118142934 135020496 138915318 157523912 162067871 185220424 236285868 277830636 300983189 315047824 324135742 370440848 472571736 486203613 555661272 601966378 648271484 902949567 945143472 972407226 1111322544 1203932756 1296542968 1805899134 1944814452 2106882323 2407865512 2593085936 3611798268 3889628904 4213764646 4815731024 6320646969 7223596536 7779257808 8427529292 12641293938 14447193072 16855058584 25282587876 33710117168 50565175752 101130351504