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1023899961 = 37314379463
BaseRepresentation
bin111101000001110…
…111100100111001
32122100122111200210
4331001313210321
54044104244321
6245333421333
734242002040
oct7501674471
92570574623
101023899961
11485a68217
12246a9a849
13134187786
1499dad557
155ed52b76
hex3d077939

1023899961 has 64 divisors (see below), whose sum is σ = 1672478720. Its totient is φ = 544864320.

The previous prime is 1023899887. The next prime is 1023899969. The reversal of 1023899961 is 1699983201.

It is not a de Polignac number, because 1023899961 - 210 = 1023898937 is a prime.

It is a super-2 number, since 2×10238999612 = 2096742260271603042, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1023899961.

It is not an unprimeable number, because it can be changed into a prime (1023899969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2211216 + ... + 2211678.

It is an arithmetic number, because the mean of its divisors is an integer number (26132480).

Almost surely, 21023899961 is an apocalyptic number.

It is an amenable number.

1023899961 is a deficient number, since it is larger than the sum of its proper divisors (648578759).

1023899961 is a wasteful number, since it uses less digits than its factorization.

1023899961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626.

The product of its (nonzero) digits is 209952, while the sum is 48.

The square root of 1023899961 is about 31998.4368524464. The cubic root of 1023899961 is about 1007.9040156069.

The spelling of 1023899961 in words is "one billion, twenty-three million, eight hundred ninety-nine thousand, nine hundred sixty-one".

Divisors: 1 3 7 21 31 43 79 93 129 217 237 301 463 553 651 903 1333 1389 1659 2449 3241 3397 3999 7347 9331 9723 10191 14353 17143 19909 23779 27993 36577 43059 51429 59727 71337 100471 105307 109731 139363 256039 301413 315921 418089 617179 737149 768117 1133887 1572811 1851537 2211447 3401661 4320253 4718433 7937209 11009677 12960759 23811627 33029031 48757141 146271423 341299987 1023899961