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1010917104 = 2431710491181
BaseRepresentation
bin111100010000010…
…101111011110000
32121110012220120020
4330100111323300
54032243321404
6244151243440
734023440121
oct7420257360
92543186506
101010917104
114796aaa8a
12242679580
13131590302
1498390048
155db3aed9
hex3c415ef0

1010917104 has 80 divisors (see below), whose sum is σ = 2770135200. Its totient is φ = 316579840.

The previous prime is 1010917081. The next prime is 1010917111. The reversal of 1010917104 is 4017190101.

1010917104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 855394 + ... + 856574.

It is an arithmetic number, because the mean of its divisors is an integer number (34626690).

Almost surely, 21010917104 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 1010917104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1385067600).

1010917104 is an abundant number, since it is smaller than the sum of its proper divisors (1759218096).

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

1010917104 is a wasteful number, since it uses less digits than its factorization.

1010917104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2258 (or 2252 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 24.

The square root of 1010917104 is about 31794.9226135243. The cubic root of 1010917104 is about 1003.6258718304.

The spelling of 1010917104 in words is "one billion, ten million, nine hundred seventeen thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 24 34 48 51 68 102 136 204 272 408 816 1049 1181 2098 2362 3147 3543 4196 4724 6294 7086 8392 9448 12588 14172 16784 17833 18896 20077 25176 28344 35666 40154 50352 53499 56688 60231 71332 80308 106998 120462 142664 160616 213996 240924 285328 321232 427992 481848 855984 963696 1238869 2477738 3716607 4955476 7433214 9910952 14866428 19821904 21060773 29732856 42121546 59465712 63182319 84243092 126364638 168486184 252729276 336972368 505458552 1010917104