Search a number
-
+
102202011122220 = 223251015621672779
BaseRepresentation
bin10111001111001111000010…
…100100010111101000101100
3111101212102020212201122210100
4113033033002210113220230
5101343434204321402340
61001210542235111100
730345565052641362
oct2717170244275054
9441772225648710
10102202011122220
112a6236a1972039
12b5675268a2490
1345047ba569119
141b348648d5632
15bc379757e830
hex5cf3c2917a2c

102202011122220 has 72 divisors (see below), whose sum is σ = 313082200463760. Its totient is φ = 26984029334400.

The previous prime is 102202011122143. The next prime is 102202011122273. The reversal of 102202011122220 is 22221110202201.

It is a happy number.

102202011122220 is a `hidden beast` number, since 1 + 0 + 220 + 201 + 1 + 1 + 22 + 220 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 102202011122193 and 102202011122202.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2810818210 + ... + 2810854569.

It is an arithmetic number, because the mean of its divisors is an integer number (4348363895330).

Almost surely, 2102202011122220 is an apocalyptic number.

102202011122220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102202011122220 is an abundant number, since it is smaller than the sum of its proper divisors (210880189341540).

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

102202011122220 is a wasteful number, since it uses less digits than its factorization.

102202011122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5621672895 (or 5621672890 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 102202011122220 its reverse (22221110202201), we get a palindrome (124423121324421).

The spelling of 102202011122220 in words is "one hundred two trillion, two hundred two billion, eleven million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 18180 5621672779 11243345558 16865018337 22486691116 28108363895 33730036674 50595055011 56216727790 67460073348 84325091685 101190110022 112433455580 168650183370 202380220044 252975275055 337300366740 505950550110 567788950679 1011901100220 1135577901358 1703366852037 2271155802716 2838944753395 3406733704074 5110100556111 5677889506790 6813467408148 8516834260185 10220201112222 11355779013580 17033668520370 20440402224444 25550502780555 34067337040740 51101005561110 102202011122220