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102301554320 = 2457929196643
BaseRepresentation
bin101111101000110100…
…1011101011010010000
3100210001120102102020022
41133101221131122100
53134003144214240
6114555141203012
710251061602260
oct1372151353220
9323046372208
10102301554320
113a427618a09
12179b0700468
1398545aa1c4
144d469b57a0
1529db3169b5
hex17d1a5d690

102301554320 has 80 divisors (see below), whose sum is σ = 272123832960. Its totient is φ = 35036884992.

The previous prime is 102301554307. The next prime is 102301554353. The reversal of 102301554320 is 23455103201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 102301554320.

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, 421919 + ... + 618561.

It is an arithmetic number, because the mean of its divisors is an integer number (3401547912).

Almost surely, 2102301554320 is an apocalyptic number.

102301554320 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 102301554320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (136061916480).

102301554320 is an abundant number, since it is smaller than the sum of its proper divisors (169822278640).

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

102301554320 is a wasteful number, since it uses less digits than its factorization.

102301554320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197592 (or 197586 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

Adding to 102301554320 its reverse (23455103201), we get a palindrome (125756657521).

The spelling of 102301554320 in words is "one hundred two billion, three hundred one million, five hundred fifty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 56 70 80 112 140 280 560 929 1858 3716 4645 6503 7432 9290 13006 14864 18580 26012 32515 37160 52024 65030 74320 104048 130060 196643 260120 393286 520240 786572 983215 1376501 1573144 1966430 2753002 3146288 3932860 5506004 6882505 7865720 11012008 13765010 15731440 22024016 27530020 55060040 110120080 182681347 365362694 730725388 913406735 1278769429 1461450776 1826813470 2557538858 2922901552 3653626940 5115077716 6393847145 7307253880 10230155432 12787694290 14614507760 20460310864 25575388580 51150777160 102301554320