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930921121 = 13223472
BaseRepresentation
bin110111011111001…
…011101010100001
32101212200200201001
4313133023222201
53401303433441
6232212512001
732032461514
oct6737135241
92355620631
10930921121
114385318a9
1221b91b601
1311ab31a00
148b8c8d7b
1556ad8731
hex377cbaa1

930921121 has 9 divisors (see below), whose sum is σ = 1008468531. Its totient is φ = 858945672.

The previous prime is 930921109. The next prime is 930921127. The reversal of 930921121 is 121129039.

The square root of 930921121 is 30511.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 137710225 + 793210896 = 11735^2 + 28164^2 .

It is a de Polignac number, because none of the positive numbers 2k-930921121 is a prime.

It is a super-2 number, since 2×9309211212 = 1733228267047793282, 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 930921121.

It is not an unprimeable number, because it can be changed into a prime (930921127) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 395470 + ... + 397816.

It is an arithmetic number, because the mean of its divisors is an integer number (112052059).

Almost surely, 2930921121 is an apocalyptic number.

930921121 is the 30511-st square number.

930921121 is the 15256-th centered octagonal number.

It is an amenable number.

930921121 is a deficient number, since it is larger than the sum of its proper divisors (77547410).

930921121 is an frugal number, since it uses more digits than its factorization.

930921121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4720 (or 2360 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 28.

The cubic root of 930921121 is about 976.4221616247.

The spelling of 930921121 in words is "nine hundred thirty million, nine hundred twenty-one thousand, one hundred twenty-one".

Divisors: 1 13 169 2347 30511 396643 5508409 71609317 930921121