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100382471787 = 3132140712
BaseRepresentation
bin101110101111101000…
…0101111011001101011
3100121002211022220220110
41131133100233121223
53121040403044122
6114040504425403
710152366634413
oct1353720573153
9317084286813
10100382471787
1139632319894
1217555a78263
139609b24a00
144c03b81643
152927ad990c
hex175f42f66b

100382471787 has 18 divisors (see below), whose sum is σ = 144941206716. Its totient is φ = 61769438640.

The previous prime is 100382471779. The next prime is 100382471789. The reversal of 100382471787 is 787174283001.

It is not a de Polignac number, because 100382471787 - 23 = 100382471779 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100382471789) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 7126962 + ... + 7141032.

It is an arithmetic number, because the mean of its divisors is an integer number (8052289262).

Almost surely, 2100382471787 is an apocalyptic number.

100382471787 is a deficient number, since it is larger than the sum of its proper divisors (44558734929).

100382471787 is an frugal number, since it uses more digits than its factorization.

100382471787 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28171 (or 14087 counting only the distinct ones).

The product of its (nonzero) digits is 526848, while the sum is 48.

Multiplying 100382471787 by its sum of digits (48), we get a square (4818358645776 = 21950762).

The spelling of 100382471787 in words is "one hundred billion, three hundred eighty-two million, four hundred seventy-one thousand, seven hundred eighty-seven".

Divisors: 1 3 13 39 169 507 14071 42213 182923 548769 2377999 7133997 197993041 593979123 2573909533 7721728599 33460823929 100382471787