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102021012202212 = 223213049217175033
BaseRepresentation
bin10111001100100110011110…
…001100010010001011100100
3111101020010001202022211220100
4113030212132030102023210
5101333003013110432322
61000551450032104100
730326526534336135
oct2714463614221344
9441203052284810
10102021012202212
112a563960784534
12b538432695030
1344c07039a515c
141b29bb418dc8c
15bbdc02309dac
hex5cc99e3122e4

102021012202212 has 36 divisors (see below), whose sum is σ = 257906211626700. Its totient is φ = 34004397810432.

The previous prime is 102021012202163. The next prime is 102021012202229. The reversal of 102021012202212 is 212202210120201.

It is a happy number.

102021012202212 is a `hidden beast` number, since 1 + 0 + 20 + 210 + 1 + 220 + 2 + 212 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 24584778556416 + 77436233645796 = 4958304^2 + 8799786^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108117753 + ... + 109057280.

It is an arithmetic number, because the mean of its divisors is an integer number (7164061434075).

Almost surely, 2102021012202212 is an apocalyptic number.

102021012202212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102021012202212 is an abundant number, since it is smaller than the sum of its proper divisors (155885199424488).

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

102021012202212 is a wasteful number, since it uses less digits than its factorization.

102021012202212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217188092 (or 217188087 counting only the distinct ones).

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

Adding to 102021012202212 its reverse (212202210120201), we get a palindrome (314223222322413).

The spelling of 102021012202212 in words is "one hundred two trillion, twenty-one billion, twelve million, two hundred two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 13049 26098 39147 52196 78294 117441 156588 234882 469764 217175033 434350066 651525099 868700132 1303050198 1954575297 2606100396 3909150594 7818301188 2833917005617 5667834011234 8501751016851 11335668022468 17003502033702 25505253050553 34007004067404 51010506101106 102021012202212