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1013202112 = 26135412251
BaseRepresentation
bin111100011001000…
…011110011000000
32121121112000000011
4330121003303000
54033334431422
6244312234304
734052035006
oct7431036300
92547460004
101013202112
1147aa2081a
1224339b994
13131bb03a0
14987c6a76
155de3d077
hex3c643cc0

1013202112 has 56 divisors (see below), whose sum is σ = 2170198352. Its totient is φ = 466560000.

The previous prime is 1013202107. The next prime is 1013202119. The reversal of 1013202112 is 2112023101.

It is a super-2 number, since 2×10132021122 = 2053157039522521088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a junction number, because it is equal to n+sod(n) for n = 1013202092 and 1013202101.

It is not an unprimeable number, because it can be changed into a prime (1013202119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 448987 + ... + 451237.

It is an arithmetic number, because the mean of its divisors is an integer number (38753542).

Almost surely, 21013202112 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 1013202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1085099176).

1013202112 is an abundant number, since it is smaller than the sum of its proper divisors (1156996240).

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

1013202112 is a wasteful number, since it uses less digits than its factorization.

1013202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2817 (or 2807 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 1013202112 is about 31830.8358671273. The cubic root of 1013202112 is about 1004.3814786076.

Adding to 1013202112 its reverse (2112023101), we get a palindrome (3125225213).

The spelling of 1013202112 in words is "one billion, thirteen million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 541 832 1082 2164 2251 4328 4502 7033 8656 9004 14066 17312 18008 28132 29263 34624 36016 56264 58526 72032 112528 117052 144064 225056 234104 450112 468208 936416 1217791 1872832 2435582 4871164 9742328 15831283 19484656 31662566 38969312 63325132 77938624 126650264 253300528 506601056 1013202112