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102022210211022 = 23379143316688899
BaseRepresentation
bin10111001100100111100101…
…100110010100110011001110
3111101020020011020121000001000
4113030213211212110303032
5101333012441303223042
61000552204545401130
730326601322262163
oct2714474546246316
9441206136530030
10102022210211022
112a564415a50262
12b5387079391a6
1344c0864c501ca
141b29c8932206a
15bbdc725a074c
hex5cc9e5994cce

102022210211022 has 64 divisors (see below), whose sum is σ = 229746072960000. Its totient is φ = 33553496718144.

The previous prime is 102022210211003. The next prime is 102022210211039. The reversal of 102022210211022 is 220112012220201.

It is a happy number.

102022210211022 is a `hidden beast` number, since 10 + 202 + 221 + 0 + 211 + 0 + 22 = 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 = 102022210210986 and 102022210211004.

It is a congruent number.

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, 2231272 + ... + 14457627.

It is an arithmetic number, because the mean of its divisors is an integer number (3589782390000).

Almost surely, 2102022210211022 is an apocalyptic number.

102022210211022 is an abundant number, since it is smaller than the sum of its proper divisors (127723862748978).

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

102022210211022 is a wasteful number, since it uses less digits than its factorization.

102022210211022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16690422 (or 16690416 counting only the distinct ones).

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

Adding to 102022210211022 its reverse (220112012220201), we get a palindrome (322134222431223).

The spelling of 102022210211022 in words is "one hundred two trillion, twenty-two billion, two hundred ten million, two hundred eleven thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 79 158 237 474 711 1422 1433 2133 2866 4266 4299 8598 12897 25794 38691 77382 113207 226414 339621 679242 1018863 2037726 3056589 6113178 16688899 33377798 50066697 100133394 150200091 300400182 450600273 901200546 1318423021 2636846042 3955269063 7910538126 11865807189 23731614378 23915192267 35597421567 47830384534 71194843134 71745576801 143491153602 215236730403 430473460806 645710191209 1291420382418 1889300189093 3778600378186 5667900567279 11335801134558 17003701701837 34007403403674 51011105105511 102022210211022