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102022131130440 = 23351038254217729
BaseRepresentation
bin10111001100100111100000…
…111000101010000001001000
3111101020012221201210021212120
4113030213200320222001020
5101333012311032133230
61000552153042411240
730326566342145433
oct2714474070520110
9441205851707776
10102022131130440
112a564385347904
12b5386a5360b20
1344c0851752471
141b29c7ca1881a
15bbdc6a67e310
hex5cc9e0e2a048

102022131130440 has 64 divisors (see below), whose sum is σ = 309037911811200. Its totient is φ = 26941766664192.

The previous prime is 102022131130399. The next prime is 102022131130459. The reversal of 102022131130440 is 44031131220201.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 102022131130440.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4127096505 + ... + 4127121224.

It is an arithmetic number, because the mean of its divisors is an integer number (4828717372050).

Almost surely, 2102022131130440 is an apocalyptic number.

102022131130440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022131130440 is an abundant number, since it is smaller than the sum of its proper divisors (207015780680760).

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

102022131130440 is a wasteful number, since it uses less digits than its factorization.

102022131130440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8254217846 (or 8254217842 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 102022131130440 its reverse (44031131220201), we get a palindrome (146053262350641).

The spelling of 102022131130440 in words is "one hundred two trillion, twenty-two billion, one hundred thirty-one million, one hundred thirty thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 103 120 206 309 412 515 618 824 1030 1236 1545 2060 2472 3090 4120 6180 12360 8254217729 16508435458 24762653187 33016870916 41271088645 49525306374 66033741832 82542177290 99050612748 123813265935 165084354580 198101225496 247626531870 330168709160 495253063740 850184426087 990506127480 1700368852174 2550553278261 3400737704348 4250922130435 5101106556522 6801475408696 8501844260870 10202213113044 12752766391305 17003688521740 20404426226088 25505532782610 34007377043480 51011065565220 102022131130440