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102220020122193 = 3217760387873827
BaseRepresentation
bin10111001111011111110011…
…111111010000001001010001
3111101221010201221211122110100
4113033133303333100021101
5101344233100122402233
61001223121242323013
730350103250626441
oct2717376377201121
9441833657748410
10102220020122193
112a6302a3541296
12b56ab11ab9469
1345063ca5cb01c
141b356925c6121
15bc3e9d614813
hex5cf7f3fd0251

102220020122193 has 24 divisors (see below), whose sum is σ = 156357065618208. Its totient is φ = 64129615224192.

The previous prime is 102220020122173. The next prime is 102220020122221. The reversal of 102220020122193 is 391221020022201.

102220020122193 is a `hidden beast` number, since 10 + 2 + 220 + 0 + 201 + 221 + 9 + 3 = 666.

It is not a de Polignac number, because 102220020122193 - 216 = 102220020056657 is a prime.

It is a super-2 number, since 2×1022200201221932 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (102220020122173) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42773655 + ... + 45100172.

It is an arithmetic number, because the mean of its divisors is an integer number (6514877734092).

Almost surely, 2102220020122193 is an apocalyptic number.

It is an amenable number.

102220020122193 is a deficient number, since it is larger than the sum of its proper divisors (54137045496015).

102220020122193 is a wasteful number, since it uses less digits than its factorization.

102220020122193 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87881453 (or 87881450 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 102220020122193 its reverse (391221020022201), we get a palindrome (493441040144394).

The spelling of 102220020122193 in words is "one hundred two trillion, two hundred twenty billion, twenty million, one hundred twenty-two thousand, one hundred ninety-three".

Divisors: 1 3 9 17 51 153 7603 22809 68427 129251 387753 1163259 87873827 263621481 790864443 1493855059 4481565177 13444695531 668104706681 2004314120043 6012942360129 11357780013577 34073340040731 102220020122193