Search a number
-
+
102202111121020 = 225231607138256691
BaseRepresentation
bin10111001111001111001000…
…100001110101011001111100
3111101212102111211220010100121
4113033033020201311121330
5101343434410421333040
61001211000210304324
730345600405630151
oct2717171041653174
9441772454803317
10102202111121020
112a623743362679
12b5675542880a4
1345048051ac201
141b34873cc6228
15bc37a1233c4a
hex5cf3c887567c

102202111121020 has 48 divisors (see below), whose sum is σ = 224095294821888. Its totient is φ = 39079082968640.

The previous prime is 102202111121017. The next prime is 102202111121039. The reversal of 102202111121020 is 20121111202201.

It is a super-2 number, since 2×1022021111210202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102202111120985 and 102202111121003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 68389126 + ... + 69867565.

It is an arithmetic number, because the mean of its divisors is an integer number (4668651975456).

Almost surely, 2102202111121020 is an apocalyptic number.

102202111121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202111121020 is an abundant number, since it is smaller than the sum of its proper divisors (121893183700868).

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

102202111121020 is a wasteful number, since it uses less digits than its factorization.

102202111121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138258330 (or 138258328 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 102202111121020 its reverse (20121111202201), we get a palindrome (122323222323221).

The spelling of 102202111121020 in words is "one hundred two trillion, two hundred two billion, one hundred eleven million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 92 115 230 460 1607 3214 6428 8035 16070 32140 36961 73922 147844 184805 369610 739220 138256691 276513382 553026764 691283455 1382566910 2765133820 3179903893 6359807786 12719615572 15899519465 31799038930 63598077860 222178502437 444357004874 888714009748 1110892512185 2221785024370 4443570048740 5110105556051 10220211112102 20440422224204 25550527780255 51101055560510 102202111121020