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102341304040020 = 223510179192132593
BaseRepresentation
bin10111010001010000110001…
…000100101011101001010100
3111102100201210102221001002220
4113101100301010223221110
5101403224442313240040
61001354540201502340
730361625630131503
oct2721206104535124
9442321712831086
10102341304040020
112a677781109921
12b58a51b7a19b0
1345149887ac286
141b3b4ba26483a
15bc71eb1802d0
hex5d143112ba54

102341304040020 has 96 divisors (see below), whose sum is σ = 289429515809280. Its totient is φ = 27017381529600.

The previous prime is 102341304039979. The next prime is 102341304040033. The reversal of 102341304040020 is 20040403143201.

It is a super-2 number, since 2×1023413040400202 (a number of 29 digits) contains 22 as substring.

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, 46922844 + ... + 49055436.

It is an arithmetic number, because the mean of its divisors is an integer number (3014890789680).

Almost surely, 2102341304040020 is an apocalyptic number.

102341304040020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 102341304040020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144714757904640).

102341304040020 is an abundant number, since it is smaller than the sum of its proper divisors (187088211769260).

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

102341304040020 is a wasteful number, since it uses less digits than its factorization.

102341304040020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2140625 (or 2140623 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 102341304040020 its reverse (20040403143201), we get a palindrome (122381707183221).

The spelling of 102341304040020 in words is "one hundred two trillion, three hundred forty-one billion, three hundred four million, forty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 101 202 303 404 505 606 1010 1212 1515 2020 3030 6060 7919 15838 23757 31676 39595 47514 79190 95028 118785 158380 237570 475140 799819 1599638 2132593 2399457 3199276 3999095 4265186 4798914 6397779 7998190 8530372 9597828 10662965 11997285 12795558 15996380 21325930 23994570 25591116 31988895 42651860 47989140 63977790 127955580 215391893 430783786 646175679 861567572 1076959465 1292351358 2153918930 2584702716 3230878395 4307837860 6461756790 12923513580 16888003967 33776007934 50664011901 67552015868 84440019835 101328023802 168880039670 202656047604 253320059505 337760079340 506640119010 1013280238020 1705688400667 3411376801334 5117065202001 6822753602668 8528442003335 10234130404002 17056884006670 20468260808004 25585326010005 34113768013340 51170652020010 102341304040020