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113433432024 = 233112925159029
BaseRepresentation
bin110100110100100101…
…0001100111111011000
3101211210101000101200010
41221221022030333120
53324302424311044
6124035520041520
711123662156233
oct1515112147730
9354711011603
10113433432024
114411a240440
1219b987632a0
13a909929ba3
1456c11b441a
152e3d755bb9
hex1a6928cfd8

113433432024 has 128 divisors (see below), whose sum is σ = 321312096000. Its totient is φ = 33055680000.

The previous prime is 113433432011. The next prime is 113433432043. The reversal of 113433432024 is 420234334311.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 113433431982 and 113433432000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1892142 + ... + 1951170.

It is an arithmetic number, because the mean of its divisors is an integer number (2510250750).

Almost surely, 2113433432024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113433432024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160656048000).

113433432024 is an abundant number, since it is smaller than the sum of its proper divisors (207878663976).

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

113433432024 is a wasteful number, since it uses less digits than its factorization.

113433432024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59329 (or 59325 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 113433432024 its reverse (420234334311), we get a palindrome (533667766335).

The spelling of 113433432024 in words is "one hundred thirteen billion, four hundred thirty-three million, four hundred thirty-two thousand, twenty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 29 33 44 58 66 87 88 116 132 174 232 251 264 319 348 502 638 696 753 957 1004 1276 1506 1914 2008 2552 2761 3012 3828 5522 6024 7279 7656 8283 11044 14558 16566 21837 22088 29116 33132 43674 58232 59029 66264 80069 87348 118058 160138 174696 177087 236116 240207 320276 354174 472232 480414 640552 649319 708348 960828 1298638 1416696 1711841 1921656 1947957 2597276 3423682 3895914 5135523 5194552 6847364 7791828 10271046 13694728 14816279 15583656 18830251 20542092 29632558 37660502 41084184 44448837 56490753 59265116 75321004 88897674 112981506 118530232 150642008 162979069 177795348 225963012 325958138 355590696 429672091 451926024 488937207 651916276 859344182 977874414 1289016273 1303832552 1718688364 1955748828 2578032546 3437376728 3911497656 4726393001 5156065092 9452786002 10312130184 14179179003 18905572004 28358358006 37811144008 56716716012 113433432024