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102233121320 = 23511317732959
BaseRepresentation
bin101111100110110010…
…0011010001000101000
3100202212210122122210202
41133031210122020220
53133333134340240
6114544254331332
710246301123201
oct1371544321050
9322783578722
10102233121320
113a3a1a28210
12179917b9b48
1398433699c5
144d3b8805a8
1529d52ea315
hex17cd91a228

102233121320 has 64 divisors (see below), whose sum is σ = 251727782400. Its totient is φ = 37058356480.

The previous prime is 102233121317. The next prime is 102233121359. The reversal of 102233121320 is 23121332201.

It is a super-2 number, since 2×1022331213202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 102233121292 and 102233121301.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 227000 + ... + 505959.

It is an arithmetic number, because the mean of its divisors is an integer number (3933246600).

Almost surely, 2102233121320 is an apocalyptic number.

102233121320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102233121320 is an abundant number, since it is smaller than the sum of its proper divisors (149494661080).

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

102233121320 is a wasteful number, since it uses less digits than its factorization.

102233121320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 733298 (or 733294 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 102233121320 its reverse (23121332201), we get a palindrome (125354453521).

The spelling of 102233121320 in words is "one hundred two billion, two hundred thirty-three million, one hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 317 440 634 1268 1585 2536 3170 3487 6340 6974 12680 13948 17435 27896 34870 69740 139480 732959 1465918 2931836 3664795 5863672 7329590 8062549 14659180 16125098 29318360 32250196 40312745 64500392 80625490 161250980 232348003 322501960 464696006 929392012 1161740015 1858784024 2323480030 2555828033 4646960060 5111656066 9293920120 10223312132 12779140165 20446624264 25558280330 51116560660 102233121320