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101213740296 = 23331632874737
BaseRepresentation
bin101111001000011001…
…1110001110100001000
3100200020202111201221000
41132100303301310020
53124241204142141
6114255201415000
710212112411644
oct1362063616410
9320222451830
10101213740296
1139a19577159
121774833a460
139710105076
144c82329c24
152975a8b5b6
hex1790cf1d08

101213740296 has 64 divisors (see below), whose sum is σ = 282874219200. Its totient is φ = 33530920704.

The previous prime is 101213740279. The next prime is 101213740337. The reversal of 101213740296 is 692047312101.

101213740296 is a `hidden beast` number, since 10 + 121 + 37 + 402 + 96 = 666.

It is a super-2 number, since 2×1012137402962 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 101213740296.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1402161 + ... + 1472576.

It is an arithmetic number, because the mean of its divisors is an integer number (4419909675).

Almost surely, 2101213740296 is an apocalyptic number.

It is an amenable number.

101213740296 is an abundant number, since it is smaller than the sum of its proper divisors (181660478904).

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

101213740296 is a wasteful number, since it uses less digits than its factorization.

101213740296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2874915 (or 2874905 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 36.

The spelling of 101213740296 in words is "one hundred one billion, two hundred thirteen million, seven hundred forty thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 163 216 326 489 652 978 1304 1467 1956 2934 3912 4401 5868 8802 11736 17604 35208 2874737 5749474 8624211 11498948 17248422 22997896 25872633 34496844 51745266 68993688 77617899 103490532 155235798 206981064 310471596 468582131 620943192 937164262 1405746393 1874328524 2811492786 3748657048 4217239179 5622985572 8434478358 11245971144 12651717537 16868956716 25303435074 33737913432 50606870148 101213740296