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921312413901 = 321124092068501
BaseRepresentation
bin11010110100000100111…
…11111100100011001101
310021002001211211212220100
431122002133330203031
5110043321434221101
61543124534241313
7123363660210015
oct15320237744315
93232054755810
10921312413901
113257a9925900
1212a6817b6239
1368b580271c9
143283db00c45
1518e735dae86
hexd6827fc8cd

921312413901 has 36 divisors (see below), whose sum is σ = 1466340382780. Its totient is φ = 557005680000.

The previous prime is 921312413899. The next prime is 921312413921. The reversal of 921312413901 is 109314213129.

It is a happy number.

921312413901 is a `hidden beast` number, since 9 + 21 + 3 + 1 + 241 + 390 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 747818505225 + 173493908676 = 864765^2 + 416526^2 .

It is not a de Polignac number, because 921312413901 - 21 = 921312413899 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (921312413921) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 588850 + ... + 1479651.

Almost surely, 2921312413901 is an apocalyptic number.

It is an amenable number.

921312413901 is a deficient number, since it is larger than the sum of its proper divisors (545027968879).

921312413901 is a wasteful number, since it uses less digits than its factorization.

921312413901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2068938 (or 2068924 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 921312413901 in words is "nine hundred twenty-one billion, three hundred twelve million, four hundred thirteen thousand, nine hundred one".

Divisors: 1 3 9 11 33 99 121 363 409 1089 1227 3681 4499 13497 40491 49489 148467 445401 2068501 6205503 18616509 22753511 68260533 204781599 250288621 750865863 846016909 2252597589 2538050727 7614152181 9306185999 27918557997 83755673991 102368045989 307104137967 921312413901