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103321438464 = 283831620881
BaseRepresentation
bin110000000111001110…
…0000000100100000000
3100212200122111220021010
41200032130000210000
53143100242012324
6115244253000520
710315254510366
oct1401634004400
9325618456233
10103321438464
113a900292a72
1218036183140
139987989b4a
14500221b636
152a4ab24829
hex180e700900

103321438464 has 72 divisors (see below), whose sum is σ = 278298955872. Its totient is φ = 34025512960.

The previous prime is 103321438463. The next prime is 103321438481. The reversal of 103321438464 is 464834123301.

103321438464 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (103321438463) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 746697 + ... + 874184.

It is an arithmetic number, because the mean of its divisors is an integer number (3865263276).

Almost surely, 2103321438464 is an apocalyptic number.

It is an amenable number.

103321438464 is an abundant number, since it is smaller than the sum of its proper divisors (174977517408).

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

103321438464 is an equidigital number, since it uses as much as digits as its factorization.

103321438464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1620983 (or 1620969 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 103321438464 in words is "one hundred three billion, three hundred twenty-one million, four hundred thirty-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 83 96 128 166 192 249 256 332 384 498 664 768 996 1328 1992 2656 3984 5312 7968 10624 15936 21248 31872 63744 1620881 3241762 4862643 6483524 9725286 12967048 19450572 25934096 38901144 51868192 77802288 103736384 134533123 155604576 207472768 269066246 311209152 403599369 414945536 538132492 622418304 807198738 1076264984 1244836608 1614397476 2152529968 3228794952 4305059936 6457589904 8610119872 12915179808 17220239744 25830359616 34440479488 51660719232 103321438464