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102120022220022 = 23431121011680401
BaseRepresentation
bin10111001110000010101011…
…101001100001110011110110
3111101120120121221010212220000
4113032002223221201303312
5101341113301142020042
61001105142432252130
730336633230526162
oct2716025351416366
9441516557125800
10102120022220022
112a5a1949309334
12b5536649a1046
1344c9b52374401
141b308c794dca2
15bc159969174c
hex5ce0aba61cf6

102120022220022 has 80 divisors (see below), whose sum is σ = 236225589646464. Its totient is φ = 32939200800000.

The previous prime is 102120022219993. The next prime is 102120022220057. The reversal of 102120022220022 is 220022220021201.

102120022220022 is a `hidden beast` number, since 1 + 0 + 21 + 200 + 222 + 200 + 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 = 102120022219977 and 102120022220004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 59931022 + ... + 61611422.

Almost surely, 2102120022220022 is an apocalyptic number.

102120022220022 is an abundant number, since it is smaller than the sum of its proper divisors (134105567426442).

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

102120022220022 is a wasteful number, since it uses less digits than its factorization.

102120022220022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692547 (or 1692538 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 102120022220022 its reverse (220022220021201), we get a palindrome (322142242241223).

The spelling of 102120022220022 in words is "one hundred two trillion, one hundred twenty billion, twenty-two million, two hundred twenty thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 81 93 162 186 279 558 837 1674 2511 5022 12101 24202 36303 72606 108909 217818 326727 375131 653454 750262 980181 1125393 1680401 1960362 2250786 3360802 3376179 5041203 6752358 10082406 10128537 15123609 20257074 30247218 30385611 45370827 52092431 60771222 90741654 104184862 136112481 156277293 272224962 312554586 468831879 937663758 1406495637 2812991274 4219486911 8438973822 20334532501 40669065002 61003597503 122007195006 183010792509 366021585018 549032377527 630370507531 1098064755054 1260741015062 1647097132581 1891111522593 3294194265162 3782223045186 5673334567779 11346669135558 17020003703337 34040007406674 51060011110011 102120022220022