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102022111221210 = 23253730637270637
BaseRepresentation
bin10111001100100111011111…
…101100101101010111011010
3111101020012220100022210112200
4113030213133230231113122
5101333012240433034320
61000552151051551030
730326566011005145
oct2714473754552732
9441205810283480
10102022111221210
112a5643750897a4
12b53869a75b476
1344c084a5a145b
141b29c7a11505c
15bbdc68a4a290
hex5cc9dfb2d5da

102022111221210 has 48 divisors (see below), whose sum is σ = 272426610513096. Its totient is φ = 26470601829504.

The previous prime is 102022111221193. The next prime is 102022111221221. The reversal of 102022111221210 is 12122111220201.

102022111221210 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 221 + 11 + 221 + 210 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 68503812550209 + 33518298671001 = 8276703^2 + 5789499^2 .

It is a super-2 number, since 2×1020221112212102 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15318631989 + ... + 15318638648.

Almost surely, 2102022111221210 is an apocalyptic number.

102022111221210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102022111221210 is an abundant number, since it is smaller than the sum of its proper divisors (170404499291886).

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

102022111221210 is a wasteful number, since it uses less digits than its factorization.

102022111221210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30637270687 (or 30637270684 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 102022111221210 its reverse (12122111220201), we get a palindrome (114144222441411).

The spelling of 102022111221210 in words is "one hundred two trillion, twenty-two billion, one hundred eleven million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 370 555 666 1110 1665 3330 30637270637 61274541274 91911811911 153186353185 183823623822 275735435733 306372706370 459559059555 551470871466 919118119110 1133579013569 1378677178665 2267158027138 2757354357330 3400737040707 5667895067845 6801474081414 10202211122121 11335790135690 17003685203535 20404422244242 34007370407070 51011055610605 102022111221210