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102233013231120 = 24351814164756509
BaseRepresentation
bin10111001111101011111010…
…011100000001111000010000
3111101222101021110122222010220
4113033223322130001320100
5101344441202341343440
61001233110425553040
730351043241343462
oct2717537234017020
9441871243588126
10102233013231120
112a63586083a342
12b571539345780
1345076bb429265
141b3616607a132
15bc44ae1548d0
hex5cfafa701e10

102233013231120 has 160 divisors (see below), whose sum is σ = 318686584419840. Its totient is φ = 27110386575360.

The previous prime is 102233013231073. The next prime is 102233013231131. The reversal of 102233013231120 is 21132310332201.

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, 1809117426 + ... + 1809173934.

It is an arithmetic number, because the mean of its divisors is an integer number (1991791152624).

Almost surely, 2102233013231120 is an apocalyptic number.

102233013231120 is a gapful number since it is divisible by the number (10) 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 102233013231120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159343292209920).

102233013231120 is an abundant number, since it is smaller than the sum of its proper divisors (216453571188720).

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

102233013231120 is a wasteful number, since it uses less digits than its factorization.

102233013231120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98353 (or 98347 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 102233013231120 its reverse (21132310332201), we get a palindrome (123365323563321).

The spelling of 102233013231120 in words is "one hundred two trillion, two hundred thirty-three billion, thirteen million, two hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 181 240 362 543 724 905 1086 1448 1810 2172 2715 2896 3620 4344 5430 7240 8688 10860 14480 21720 41647 43440 56509 83294 113018 124941 166588 169527 208235 226036 249882 282545 333176 339054 416470 452072 499764 565090 624705 666352 678108 832940 847635 904144 999528 1130180 1249410 1356216 1665880 1695270 1999056 2260360 2498820 2712432 3331760 3390540 4520720 4997640 6781080 7538107 9995280 10228129 13562160 15076214 20456258 22614321 30152428 30684387 37690535 40912516 45228642 51140645 60304856 61368774 75381070 81825032 90457284 102281290 113071605 120609712 122737548 150762140 153421935 163650064 180914568 204562580 226143210 245475096 301524280 306843870 361829136 409125160 452286420 490950192 603048560 613687740 818250320 904572840 1227375480 1809145680 2353430323 2454750960 4706860646 7060290969 9413721292 11767151615 14120581938 18827442584 23534303230 28241163876 35301454845 37654885168 47068606460 56482327752 70602909690 94137212920 112964655504 141205819380 188274425840 282411638760 425970888463 564823277520 851941776926 1277912665389 1703883553852 2129854442315 2555825330778 3407767107704 4259708884630 5111650661556 6389563326945 6815534215408 8519417769260 10223301323112 12779126653890 17038835538520 20446602646224 25558253307780 34077671077040 51116506615560 102233013231120