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102023313321120 = 2535307692340617
BaseRepresentation
bin10111001100101000100111…
…010110010110110010100000
3111101020100000010021210121120
4113030220213112112302200
5101333022221202233440
61000552510233052240
730326640545460462
oct2714504726266240
9441210003253546
10102023313321120
112a56493169a1a4
12b538975257080
1344c09ac64c689
141b29d51a30132
15bbdcd934cdd0
hex5cca27596ca0

102023313321120 has 96 divisors (see below), whose sum is σ = 322420256440128. Its totient is φ = 27117597247488.

The previous prime is 102023313321109. The next prime is 102023313321121. The reversal of 102023313321120 is 21123313320201.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1020233133211202 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (102023313321121) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 346022949 + ... + 346317668.

It is an arithmetic number, because the mean of its divisors is an integer number (3358544337918).

Almost surely, 2102023313321120 is an apocalyptic number.

102023313321120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102023313321120 is an abundant number, since it is smaller than the sum of its proper divisors (220396943119008).

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

102023313321120 is a wasteful number, since it uses less digits than its factorization.

102023313321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 692340942 (or 692340934 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 102023313321120 its reverse (21123313320201), we get a palindrome (123146626641321).

The spelling of 102023313321120 in words is "one hundred two trillion, twenty-three billion, three hundred thirteen million, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 307 480 614 921 1228 1535 1842 2456 3070 3684 4605 4912 6140 7368 9210 9824 12280 14736 18420 24560 29472 36840 49120 73680 147360 692340617 1384681234 2077021851 2769362468 3461703085 4154043702 5538724936 6923406170 8308087404 10385109255 11077449872 13846812340 16616174808 20770218510 22154899744 27693624680 33232349616 41540437020 55387249360 66464699232 83080874040 110774498720 166161748080 212548569419 332323496160 425097138838 637645708257 850194277676 1062742847095 1275291416514 1700388555352 2125485694190 2550582833028 3188228541285 3400777110704 4250971388380 5101165666056 6376457082570 6801554221408 8501942776760 10202331332112 12752914165140 17003885553520 20404662664224 25505828330280 34007771107040 51011656660560 102023313321120