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1010331072 = 263217310139
BaseRepresentation
bin111100001110000…
…110110111000000
32121102010010200100
4330032012313000
54032121043242
6244130522400
734015446432
oct7416066700
92542103610
101010331072
1147933a763
12242436400
1313141664a
149827a652
155da7254c
hex3c386dc0

1010331072 has 84 divisors (see below), whose sum is σ = 2912958360. Its totient is φ = 334797312.

The previous prime is 1010331071. The next prime is 1010331109. The reversal of 1010331072 is 2701330101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010331071) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94579 + ... + 104717.

Almost surely, 21010331072 is an apocalyptic number.

1010331072 is a gapful number since it is divisible by the number (12) 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 1010331072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1456479180).

1010331072 is an abundant number, since it is smaller than the sum of its proper divisors (1902627288).

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

1010331072 is a wasteful number, since it uses less digits than its factorization.

1010331072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10330 (or 10317 counting only the distinct ones).

The product of its (nonzero) digits is 126, while the sum is 18.

The square root of 1010331072 is about 31785.7054664514. The cubic root of 1010331072 is about 1003.4318992606.

Adding to 1010331072 its reverse (2701330101), we get a palindrome (3711661173).

The spelling of 1010331072 in words is "one billion, ten million, three hundred thirty-one thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 173 192 288 346 519 576 692 1038 1384 1557 2076 2768 3114 4152 5536 6228 8304 10139 11072 12456 16608 20278 24912 30417 33216 40556 49824 60834 81112 91251 99648 121668 162224 182502 243336 324448 365004 486672 648896 730008 973344 1460016 1754047 1946688 2920032 3508094 5262141 5840064 7016188 10524282 14032376 15786423 21048564 28064752 31572846 42097128 56129504 63145692 84194256 112259008 126291384 168388512 252582768 336777024 505165536 1010331072