Search a number
-
+
113000321120 = 2552359520451
BaseRepresentation
bin110100100111101011…
…0000001000001100000
3101210200012001002012112
41221033112001001200
53322411040233440
6123524525014452
711110152611231
oct1511726010140
9353605032175
10113000321120
1143a1780a845
1219a976b4428
13a86ac9464b
14567d871088
152e15701965
hex1a4f581060

113000321120 has 96 divisors (see below), whose sum is σ = 283292432640. Its totient is φ = 42502028800.

The previous prime is 113000321117. The next prime is 113000321129. The reversal of 113000321120 is 21123000311.

It is a junction number, because it is equal to n+sod(n) for n = 113000321095 and 113000321104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113000321129) 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, 43106 + ... + 477345.

It is an arithmetic number, because the mean of its divisors is an integer number (2950962840).

Almost surely, 2113000321120 is an apocalyptic number.

113000321120 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 113000321120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141646216320).

113000321120 is an abundant number, since it is smaller than the sum of its proper divisors (170292111520).

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

113000321120 is a wasteful number, since it uses less digits than its factorization.

113000321120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520548 (or 520540 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 14.

Adding to 113000321120 its reverse (21123000311), we get a palindrome (134123321431).

The spelling of 113000321120 in words is "one hundred thirteen billion, three hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 59 80 92 115 118 160 184 230 236 295 368 460 472 590 736 920 944 1180 1357 1840 1888 2360 2714 3680 4720 5428 6785 9440 10856 13570 21712 27140 43424 54280 108560 217120 520451 1040902 2081804 2602255 4163608 5204510 8327216 10409020 11970373 16654432 20818040 23940746 30706609 41636080 47881492 59851865 61413218 83272160 95762984 119703730 122826436 153533045 191525968 239407460 245652872 307066090 383051936 478814920 491305744 614132180 706252007 957629840 982611488 1228264360 1412504014 1915259680 2456528720 2825008028 3531260035 4913057440 5650016056 7062520070 11300032112 14125040140 22600064224 28250080280 56500160560 113000321120