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103312744929 = 3219256392
BaseRepresentation
bin110000000110111101…
…0110110000111100001
3100212200001011012222100
41200031322312013201
53143041030314204
6115243342401013
710315120561662
oct1401572660741
9325601135870
10103312744929
113a8a6395429
1218033290169
139985c34b44
145000dd7369
152a49ea8a39
hex180deb61e1

103312744929 has 27 divisors (see below), whose sum is σ = 157525018833. Its totient is φ = 65238583464.

The previous prime is 103312744919. The next prime is 103312744957. The reversal of 103312744929 is 929447213301.

The square root of 103312744929 is 321423.

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

103312744929 is a `hidden beast` number, since 1 + 0 + 33 + 127 + 4 + 492 + 9 = 666.

It is not a de Polignac number, because 103312744929 - 217 = 103312613857 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (103312744919) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18318292 + ... + 18323930.

Almost surely, 2103312744929 is an apocalyptic number.

103312744929 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

103312744929 is the 321423-rd square number.

103312744929 is the 160712-nd centered octagonal number.

It is an amenable number.

103312744929 is a deficient number, since it is larger than the sum of its proper divisors (54212273904).

103312744929 is an frugal number, since it uses more digits than its factorization.

103312744929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11322 (or 5661 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

It can be divided in two parts, 103312 and 744929, that added together give a square (848241 = 9212).

The spelling of 103312744929 in words is "one hundred three billion, three hundred twelve million, seven hundred forty-four thousand, nine hundred twenty-nine".

Divisors: 1 3 9 19 57 171 361 1083 3249 5639 16917 50751 107141 321423 964269 2035679 6107037 18321111 31798321 95394963 286184889 604168099 1812504297 5437512891 11479193881 34437581643 103312744929