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10088110032 = 24371113209959
BaseRepresentation
bin10010110010100110…
…00101011111010000
3222001001120002100220
421121103011133100
5131130024010112
64345011113040
7504664343340
oct113123053720
928031502326
1010088110032
114307525420
121b565a2780
13c4a02a0a0
146b9b3ad20
153e09b498c
hex2594c57d0

10088110032 has 160 divisors (see below), whose sum is σ = 34991093760. Its totient is φ = 2418716160.

The previous prime is 10088110031. The next prime is 10088110091. The reversal of 10088110032 is 23001188001.

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

It is a junction number, because it is equal to n+sod(n) for n = 10088109984 and 10088110011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10088110031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 56932 + ... + 153027.

It is an arithmetic number, because the mean of its divisors is an integer number (218694336).

Almost surely, 210088110032 is an apocalyptic number.

10088110032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10088110032 is an abundant number, since it is smaller than the sum of its proper divisors (24902983728).

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

10088110032 is a wasteful number, since it uses less digits than its factorization.

10088110032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 210001 (or 209995 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 24.

Adding to 10088110032 its reverse (23001188001), we get a palindrome (33089298033).

The spelling of 10088110032 in words is "ten billion, eighty-eight million, one hundred ten thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 11 12 13 14 16 21 22 24 26 28 33 39 42 44 48 52 56 66 77 78 84 88 91 104 112 132 143 154 156 168 176 182 208 231 264 273 286 308 312 336 364 429 462 528 546 572 616 624 728 858 924 1001 1092 1144 1232 1456 1716 1848 2002 2184 2288 3003 3432 3696 4004 4368 6006 6864 8008 12012 16016 24024 48048 209959 419918 629877 839836 1259754 1469713 1679672 2309549 2519508 2729467 2939426 3359344 4409139 4619098 5039016 5458934 5878852 6928647 8188401 8818278 9238196 10078032 10917868 11757704 13857294 16166843 16376802 17636556 18476392 19106269 21835736 23515408 27714588 30024137 32333686 32753604 35273112 36952784 38212538 43671472 48500529 55429176 57318807 60048274 64667372 65507208 70546224 76425076 90072411 97001058 110858352 114637614 120096548 129334744 131014416 152850152 180144822 194002116 210168959 229275228 240193096 258669488 305700304 360289644 388004232 420337918 458550456 480386192 630506877 720579288 776008464 840675836 917100912 1261013754 1441158576 1681351672 2522027508 3362703344 5044055016 10088110032