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1013033032 = 231119679043
BaseRepresentation
bin111100011000011…
…010100001001000
32121121012102001221
4330120122201020
54033314024112
6244304451424
734050432034
oct7430324110
92547172057
101013033032
1147a915790
12243319b74
13131b5143b
14987811c4
155de07e07
hex3c61a848

1013033032 has 64 divisors (see below), whose sum is σ = 2213971200. Its totient is φ = 429675840.

The previous prime is 1013033023. The next prime is 1013033059. The reversal of 1013033032 is 2303303101.

It is a super-2 number, since 2×10130330322 = 2052471847846226048, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1013032997 and 1013033015.

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, 107503 + ... + 116545.

It is an arithmetic number, because the mean of its divisors is an integer number (34593300).

Almost surely, 21013033032 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 1013033032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1106985600).

1013033032 is an abundant number, since it is smaller than the sum of its proper divisors (1200938168).

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

1013033032 is a wasteful number, since it uses less digits than its factorization.

1013033032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9146 (or 9142 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 1013033032 is about 31828.1798411408. The cubic root of 1013033032 is about 1004.3256061528.

Adding to 1013033032 its reverse (2303303101), we get a palindrome (3316336133).

The spelling of 1013033032 in words is "one billion, thirteen million, thirty-three thousand, thirty-two".

Divisors: 1 2 4 8 11 19 22 38 44 67 76 88 134 152 209 268 418 536 737 836 1273 1474 1672 2546 2948 5092 5896 9043 10184 14003 18086 28006 36172 56012 72344 99473 112024 171817 198946 343634 397892 605881 687268 795784 1211762 1374536 1889987 2423524 3779974 4847048 6664691 7559948 11511739 13329382 15119896 23023478 26658764 46046956 53317528 92093912 126629129 253258258 506516516 1013033032