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102126871344 = 2433757503869
BaseRepresentation
bin101111100011100111…
…1000110001100110000
3100202121101201121020110
41133013033012030300
53133123434340334
6114525541141320
710243541040411
oct1370717061460
9322541647213
10102126871344
113a347a58013
12179620ba840
1398273484b4
144d2b703808
1529cad0dae9
hex17c73c6330

102126871344 has 40 divisors (see below), whose sum is σ = 270958235440. Its totient is φ = 33122227968.

The previous prime is 102126871333. The next prime is 102126871351. The reversal of 102126871344 is 443178621201.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28750159 + ... + 28753710.

It is an arithmetic number, because the mean of its divisors is an integer number (6773955886).

Almost surely, 2102126871344 is an apocalyptic number.

It is an amenable number.

102126871344 is an abundant number, since it is smaller than the sum of its proper divisors (168831364096).

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

102126871344 is a wasteful number, since it uses less digits than its factorization.

102126871344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57503917 (or 57503911 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 102126871344 in words is "one hundred two billion, one hundred twenty-six million, eight hundred seventy-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1776 57503869 115007738 172511607 230015476 345023214 460030952 690046428 920061904 1380092856 2127643153 2760185712 4255286306 6382929459 8510572612 12765858918 17021145224 25531717836 34042290448 51063435672 102126871344