Search a number
-
+
102222212110220 = 22561557467332191
BaseRepresentation
bin10111001111100001110110…
…101001000001011110001100
3111101221100101201110011202002
4113033201312221001132030
5101344302042300011340
61001224122544251432
730350211465336206
oct2717416651013614
9441840351404662
10102222212110220
112a631218899344
12b56b424010b78
134506689785967
141b3581d779776
15bc407ac9c715
hex5cf876a4178c

102222212110220 has 96 divisors (see below), whose sum is σ = 218631052717056. Its totient is φ = 40136531558400.

The previous prime is 102222212110189. The next prime is 102222212110231. The reversal of 102222212110220 is 22011212222201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102222212110192 and 102222212110201.

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, 3175474325 + ... + 3175506515.

It is an arithmetic number, because the mean of its divisors is an integer number (2277406799136).

Almost surely, 2102222212110220 is an apocalyptic number.

102222212110220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102222212110220 is an abundant number, since it is smaller than the sum of its proper divisors (116408840606836).

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

102222212110220 is a wasteful number, since it uses less digits than its factorization.

102222212110220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37491 (or 37489 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 102222212110220 its reverse (22011212222201), we get a palindrome (124233424332421).

The spelling of 102222212110220 in words is "one hundred two trillion, two hundred twenty-two billion, two hundred twelve million, one hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 61 122 244 305 557 610 1114 1220 2228 2785 4673 5570 9346 11140 18692 23365 32191 33977 46730 64382 67954 93460 128764 135908 160955 169885 285053 321910 339770 570106 643820 679540 1140212 1425265 1963651 2602861 2850530 3927302 5205722 5701060 7854604 9818255 10411444 13014305 17930387 19636510 26028610 35860774 39273020 52057220 71721548 89651935 150428543 158774521 179303870 300857086 317549042 358607740 601714172 635098084 752142715 793872605 1093753607 1504285430 1587745210 2187507214 3008570860 3175490420 4375014428 5468768035 9176141123 10937536070 18352282246 21875072140 36704564492 45880705615 83788698451 91761411230 167577396902 183522822460 335154793804 418943492255 837886984510 1675773969020 5111110605511 10222221211022 20444442422044 25555553027555 51111106055110 102222212110220