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103001221320 = 23354335955603
BaseRepresentation
bin101111111101101011…
…0011110100011001000
3100211212022222011220220
41133323112132203020
53141421303040240
6115152413350040
710304315635614
oct1377326364310
9324768864826
10103001221320
113a7565600a8
1217b66a98320
139936530b4a
144db18a4344
152a2c9705d0
hex17fb59e8c8

103001221320 has 128 divisors (see below), whose sum is σ = 317076249600. Its totient is φ = 26753013504.

The previous prime is 103001221303. The next prime is 103001221321. The reversal of 103001221320 is 23122100301.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103001221320.

It is not an unprimeable number, because it can be changed into a prime (103001221321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1824639 + ... + 1880241.

It is an arithmetic number, because the mean of its divisors is an integer number (2477158200).

Almost surely, 2103001221320 is an apocalyptic number.

103001221320 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 103001221320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158538124800).

103001221320 is an abundant number, since it is smaller than the sum of its proper divisors (214075028280).

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

103001221320 is a wasteful number, since it uses less digits than its factorization.

103001221320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56019 (or 56015 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 103001221320 its reverse (23122100301), we get a palindrome (126123321621).

The spelling of 103001221320 in words is "one hundred three billion, one million, two hundred twenty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 43 60 86 120 129 172 215 258 344 359 430 516 645 718 860 1032 1077 1290 1436 1720 1795 2154 2580 2872 3590 4308 5160 5385 7180 8616 10770 14360 15437 21540 30874 43080 46311 55603 61748 77185 92622 111206 123496 154370 166809 185244 222412 231555 278015 308740 333618 370488 444824 463110 556030 617480 667236 834045 926220 1112060 1334472 1668090 1852440 2224120 2390929 3336180 4781858 6672360 7172787 9563716 11954645 14345574 19127432 19961477 23909290 28691148 35863935 39922954 47818580 57382296 59884431 71727870 79845908 95637160 99807385 119768862 143455740 159691816 199614770 239537724 286911480 299422155 399229540 479075448 598844310 798459080 858343511 1197688620 1716687022 2395377240 2575030533 3433374044 4291717555 5150061066 6866748088 8583435110 10300122132 12875152665 17166870220 20600244264 25750305330 34333740440 51500610660 103001221320