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103220112320 = 2651377332099
BaseRepresentation
bin110000000100001100…
…1011110101111000000
3100212102120211222220222
41200020121132233000
53142343322043240
6115230233122212
710312614323033
oct1401031365700
9325376758828
10103220112320
113a859076156
1218008259368
13996c9a0850
144dd29a301a
152a41cabeb5
hex180865ebc0

103220112320 has 112 divisors (see below), whose sum is σ = 265050727200. Its totient is φ = 38061551616.

The previous prime is 103220112251. The next prime is 103220112377. The reversal of 103220112320 is 23211022301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3199631 + ... + 3231729.

It is an arithmetic number, because the mean of its divisors is an integer number (2366524350).

Almost surely, 2103220112320 is an apocalyptic number.

103220112320 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 103220112320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132525363600).

103220112320 is an abundant number, since it is smaller than the sum of its proper divisors (161830614880).

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

103220112320 is a wasteful number, since it uses less digits than its factorization.

103220112320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32902 (or 32892 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 103220112320 its reverse (23211022301), we get a palindrome (126431134621).

The spelling of 103220112320 in words is "one hundred three billion, two hundred twenty million, one hundred twelve thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 773 832 1040 1546 2080 3092 3865 4160 6184 7730 10049 12368 15460 20098 24736 30920 32099 40196 49472 50245 61840 64198 80392 100490 123680 128396 160495 160784 200980 247360 256792 320990 321568 401960 417287 513584 641980 643136 803920 834574 1027168 1283960 1607840 1669148 2054336 2086435 2567920 3215680 3338296 4172870 5135840 6676592 8345740 10271680 13353184 16691480 24812527 26706368 33382960 49625054 66765920 99250108 124062635 133531840 198500216 248125270 322562851 397000432 496250540 645125702 794000864 992501080 1290251404 1588001728 1612814255 1985002160 2580502808 3225628510 3970004320 5161005616 6451257020 7940008640 10322011232 12902514040 20644022464 25805028080 51610056160 103220112320