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102233000310132 = 223173713798864107
BaseRepresentation
bin10111001111101011111001…
…101010101111010101110100
3111101222101020120100111212210
4113033223321222233111310
5101344441141034411012
61001233105245013420
730351043023460116
oct2717537152572564
9441871216314783
10102233000310132
112a63585451463a
12b571534b54270
1345076b8853cc3
141b361644753b6
15bc44ace5123c
hex5cfaf9aaf574

102233000310132 has 96 divisors (see below), whose sum is σ = 261295464705408. Its totient is φ = 30978474430464.

The previous prime is 102233000310113. The next prime is 102233000310179. The reversal of 102233000310132 is 231013000332201.

It is a super-2 number, since 2×1022330003101322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102233000310099 and 102233000310108.

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, 48397978 + ... + 50466129.

It is an arithmetic number, because the mean of its divisors is an integer number (2721827757348).

Almost surely, 2102233000310132 is an apocalyptic number.

102233000310132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

102233000310132 is an abundant number, since it is smaller than the sum of its proper divisors (159062464395276).

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

102233000310132 is a wasteful number, since it uses less digits than its factorization.

102233000310132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98864305 (or 98864303 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 102233000310132 its reverse (231013000332201), we get a palindrome (333246000642333).

The spelling of 102233000310132 in words is "one hundred two trillion, two hundred thirty-three billion, three hundred ten thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 17 34 37 51 68 74 102 111 137 148 204 222 274 411 444 548 629 822 1258 1644 1887 2329 2516 3774 4658 5069 6987 7548 9316 10138 13974 15207 20276 27948 30414 60828 86173 172346 258519 344692 517038 1034076 98864107 197728214 296592321 395456428 593184642 1186369284 1680689819 3361379638 3657971959 5042069457 6722759276 7315943918 10084138914 10973915877 13544382659 14631887836 20168277828 21947831754 27088765318 40633147977 43895663508 54177530636 62185523303 81266295954 124371046606 162532591908 186556569909 230254505203 248742093212 373113139818 460509010406 501142158383 690763515609 746226279636 921018020812 1002284316766 1381527031218 1503426475149 2004568633532 2763054062436 3006852950298 6013705900596 8519416692511 17038833385022 25558250077533 34077666770044 51116500155066 102233000310132