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95701992100 = 225211137019547
BaseRepresentation
bin101100100100001001…
…0001000001010100100
3100011000122011220210221
41121020102020022210
53031444202221400
6111544225454124
76625404340141
oct1311022101244
9304018156727
1095701992100
1137650309160
121666a4a1344
139042239bc0
1448bc2d53c8
152751c4ac1a
hex16484882a4

95701992100 has 144 divisors (see below), whose sum is σ = 244353485376. Its totient is φ = 32074560000.

The previous prime is 95701992013. The next prime is 95701992131. The reversal of 95701992100 is 129910759.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10019527 + ... + 10029073.

It is an arithmetic number, because the mean of its divisors is an integer number (1696899204).

Almost surely, 295701992100 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 95701992100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122176742688).

95701992100 is an abundant number, since it is smaller than the sum of its proper divisors (148651493276).

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

95701992100 is a wasteful number, since it uses less digits than its factorization.

95701992100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10286 (or 10279 counting only the distinct ones).

The product of its (nonzero) digits is 51030, while the sum is 43.

It can be divided in two parts, 95701 and 992100, that added together give a palindrome (1087801).

The spelling of 95701992100 in words is "ninety-five billion, seven hundred one million, nine hundred ninety-two thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 220 260 275 286 325 550 572 650 701 715 1100 1300 1402 1430 2804 2860 3505 3575 7010 7150 7711 9113 9547 14020 14300 15422 17525 18226 19094 30844 35050 36452 38188 38555 45565 47735 70100 77110 91130 95470 100243 105017 124111 154220 182260 190940 192775 200486 210034 227825 238675 248222 385550 400972 420068 455650 477350 496444 501215 525085 620555 771100 911300 954700 1002430 1050170 1241110 1365221 2004860 2100340 2482220 2506075 2625425 2730442 3102775 5012150 5250850 5460884 6205550 6692447 6826105 10024300 10501700 12411100 13384894 13652210 26769788 27304420 33462235 34130525 66924470 68261050 73616917 87001811 133848940 136522100 147233834 167311175 174003622 294467668 334622350 348007244 368084585 435009055 669244700 736169170 870018110 957019921 1472338340 1740036220 1840422925 1914039842 2175045275 3680845850 3828079684 4350090550 4785099605 7361691700 8700181100 9570199210 19140398420 23925498025 47850996050 95701992100