Search a number
-
+
123334401320 = 235131967186317
BaseRepresentation
bin111001011011101001…
…1011001110100101000
3102210100101102202012122
41302313103121310220
54010042101320240
6132354204130412
711624225054024
oct1626723316450
9383311382178
10123334401320
1148340066199
121baa0536a08
13b826c52ac0
145d80119384
15331caa14b5
hex1cb74d9d28

123334401320 has 128 divisors (see below), whose sum is σ = 319274524800. Its totient is φ = 42497934336.

The previous prime is 123334401317. The next prime is 123334401329. The reversal of 123334401320 is 23104433321.

123334401320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1233344013202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 123334401320.

It is not an unprimeable number, because it can be changed into a prime (123334401329) 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, 568802 + ... + 755118.

It is an arithmetic number, because the mean of its divisors is an integer number (2494332225).

Almost surely, 2123334401320 is an apocalyptic number.

123334401320 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 123334401320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159637262400).

123334401320 is an abundant number, since it is smaller than the sum of its proper divisors (195940123480).

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

123334401320 is a wasteful number, since it uses less digits than its factorization.

123334401320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 186427 (or 186423 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 123334401320 its reverse (23104433321), we get a palindrome (146438834641).

The spelling of 123334401320 in words is "one hundred twenty-three billion, three hundred thirty-four million, four hundred one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 67 76 95 104 130 134 152 190 247 260 268 335 380 494 520 536 670 760 871 988 1235 1273 1340 1742 1976 2470 2546 2680 3484 4355 4940 5092 6365 6968 8710 9880 10184 12730 16549 17420 25460 33098 34840 50920 66196 82745 132392 165490 186317 330980 372634 661960 745268 931585 1490536 1863170 2422121 3540023 3726340 4844242 7080046 7452680 9688484 12110605 12483239 14160092 17700115 19376968 24221210 24966478 28320184 35400230 46020299 48442420 49932956 62416195 70800460 92040598 96884840 99865912 124832390 141600920 162282107 184081196 230101495 237181541 249664780 324564214 368162392 460202990 474363082 499329560 649128428 811410535 920405980 948726164 1185907705 1298256856 1622821070 1840811960 1897452328 2371815410 3083360033 3245642140 4743630820 6166720066 6491284280 9487261640 12333440132 15416800165 24666880264 30833600330 61667200660 123334401320