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112102201100020 = 22529259461245039
BaseRepresentation
bin11001011111010011010011…
…111000000000011011110100
3112200220212101010210102220211
4121133103103320000123310
5104143140301440200040
61034231012405035204
732420055022163425
oct3137232370003364
9480825333712824
10112102201100020
11327a03050280aa
12106a61a83b5b04
134a722663704c1
141d97abdcd764c
15ce607ecb28ea
hex65f4d3e006f4

112102201100020 has 144 divisors (see below), whose sum is σ = 248483556921600. Its totient is φ = 42468339504640.

The previous prime is 112102201099939. The next prime is 112102201100039. The reversal of 112102201100020 is 20001102201211.

It is a super-3 number, since 3×1121022011000203 (a number of 43 digits) contains 333 as substring.

It is a congruent number.

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, 457364661 + ... + 457609699.

It is an arithmetic number, because the mean of its divisors is an integer number (1725580256400).

Almost surely, 2112102201100020 is an apocalyptic number.

112102201100020 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 112102201100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124241778460800).

112102201100020 is an abundant number, since it is smaller than the sum of its proper divisors (136381355821580).

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

112102201100020 is a wasteful number, since it uses less digits than its factorization.

112102201100020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245626 (or 245595 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 112102201100020 its reverse (20001102201211), we get a palindrome (132103303301231).

The spelling of 112102201100020 in words is "one hundred twelve trillion, one hundred two billion, two hundred one million, one hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 59 116 118 145 236 290 295 461 580 590 841 922 1180 1682 1711 1844 2305 3364 3422 4205 4610 6844 8410 8555 9220 13369 16820 17110 26738 27199 34220 49619 53476 54398 66845 99238 108796 133690 135995 198476 245039 248095 267380 271990 387701 490078 496190 543980 775402 788771 980156 992380 1225195 1550804 1577542 1938505 2450390 3155084 3877010 3943855 4900780 7106131 7754020 7887710 14212262 14457301 15775420 22874359 28424524 28914602 35530655 45748718 57829204 71061310 72286505 91497436 112962979 114371795 142122620 144573010 206077799 225925958 228743590 289146020 412155598 419261729 451851916 457487180 564814895 824311196 838523458 1030388995 1129629790 1677046916 2060777990 2096308645 2259259580 3275926391 4121555980 4192617290 6551852782 6664815761 8385234580 12158590141 13103705564 13329631522 16379631955 24317180282 26659263044 32759263910 33324078805 48634360564 60792950705 65518527820 66648157610 95001865339 121585901410 133296315220 190003730678 193279657069 243171802820 380007461356 386559314138 475009326695 773118628276 950018653390 966398285345 1900037306780 1932796570690 3865593141380 5605110055001 11210220110002 22420440220004 28025550275005 56051100550010 112102201100020