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1011412314 = 2321117487617
BaseRepresentation
bin111100010010001…
…110110101011010
32121111011001212100
4330102032311122
54032410143224
6244210024230
734030601643
oct7422166532
92544131770
101011412314
11479a09050
12242878076
13131704833
149847c6ca
155dbd7ac9
hex3c48ed5a

1011412314 has 96 divisors (see below), whose sum is σ = 2540543616. Its totient is φ = 287400960.

The previous prime is 1011412309. The next prime is 1011412319. The reversal of 1011412314 is 4132141101.

It is an interprime number because it is at equal distance from previous prime (1011412309) and next prime (1011412319).

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

It is not an unprimeable number, because it can be changed into a prime (1011412319) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1638934 + ... + 1639550.

It is an arithmetic number, because the mean of its divisors is an integer number (26463996).

Almost surely, 21011412314 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1011412314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1270271808).

1011412314 is an abundant number, since it is smaller than the sum of its proper divisors (1529131302).

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

1011412314 is a wasteful number, since it uses less digits than its factorization.

1011412314 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

The square root of 1011412314 is about 31802.7092242155. The cubic root of 1011412314 is about 1003.7897245121.

Adding to 1011412314 its reverse (4132141101), we get a palindrome (5143553415).

The spelling of 1011412314 in words is "one billion, eleven million, four hundred twelve thousand, three hundred fourteen".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 51 66 99 102 153 187 198 306 374 487 561 617 974 1122 1234 1461 1683 1851 2922 3366 3702 4383 5357 5553 6787 8279 8766 10489 10714 11106 13574 16071 16558 20361 20978 24837 31467 32142 40722 48213 49674 61083 62934 74511 91069 94401 96426 115379 122166 149022 182138 188802 230758 273207 300479 346137 546414 600958 692274 819621 901437 1038411 1639242 1802874 2076822 2704311 3305269 5108143 5408622 6610538 9915807 10216286 15324429 19831614 29747421 30648858 45973287 56189573 59494842 91946574 112379146 168568719 337137438 505706157 1011412314