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1337221921 = 717313797101
BaseRepresentation
bin100111110110100…
…0110001100100001
310110012012220121211
41033231012030201
510214312100141
6340405150121
745065125120
oct11755061441
93405186554
101337221921
11626910692
123139bb341
1318406b199
14c984dab7
157c5e3d81
hex4fb46321

1337221921 has 64 divisors (see below), whose sum is σ = 1750339584. Its totient is φ = 995328000.

The previous prime is 1337221883. The next prime is 1337221927. The reversal of 1337221921 is 1291227331.

It is a 5-Lehmer number, since φ(1337221921) divides (1337221921-1)5.

It is a cyclic number.

It is not a de Polignac number, because 1337221921 - 29 = 1337221409 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a deceptive number, since it divides R1337221920.

It is not an unprimeable number, because it can be changed into a prime (1337221927) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13239771 + ... + 13239871.

It is an arithmetic number, because the mean of its divisors is an integer number (27349056).

Almost surely, 21337221921 is an apocalyptic number.

It is an amenable number.

1337221921 is a deficient number, since it is larger than the sum of its proper divisors (413117663).

1337221921 is a wasteful number, since it uses less digits than its factorization.

1337221921 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290.

The product of its digits is 4536, while the sum is 31.

The square root of 1337221921 is about 36568.0450803704. The cubic root of 1337221921 is about 1101.7113639279.

The spelling of 1337221921 in words is "one billion, three hundred thirty-seven million, two hundred twenty-one thousand, nine hundred twenty-one".

Divisors: 1 7 17 31 37 97 101 119 217 259 527 629 679 707 1147 1649 1717 3007 3131 3589 3689 3737 4403 8029 9797 11543 12019 19499 21049 21917 25123 26159 51119 53227 61013 63529 68579 111259 115847 136493 166549 303707 357833 362489 372589 427091 444703 778813 810929 1165843 1891403 1969399 2125949 2537423 5163019 6162313 11237159 13239821 13785793 36141133 43136191 78660113 191031703 1337221921