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103021101332001 = 3229394716863341
BaseRepresentation
bin10111011011001001111000…
…001001100011011000100001
3111111202201110200110112110200
4113123021320021203120201
5102000344203420111001
61003035123545015413
730462012633564606
oct2733117011433041
9444681420415420
10103021101332001
112a90a004a46a06
12b67a21a484569
134563b045797c8
141b623683986ad
15bd9c367ca086
hex5db278263621

103021101332001 has 12 divisors (see below), whose sum is σ = 153939576703380. Its totient is φ = 66312433041120.

The previous prime is 103021101331787. The next prime is 103021101332033. The reversal of 103021101332001 is 100233101120301.

It can be written as a sum of positive squares in 2 ways, for example, as 60657990728976 + 42363110603025 = 7788324^2 + 6508695^2 .

It is not a de Polignac number, because 103021101332001 - 213 = 103021101323809 is a prime.

It is a super-3 number, since 3×1030211013320013 (a number of 43 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (103021101332041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 197358431410 + ... + 197358431931.

It is an arithmetic number, because the mean of its divisors is an integer number (12828298058615).

Almost surely, 2103021101332001 is an apocalyptic number.

It is an amenable number.

103021101332001 is a deficient number, since it is larger than the sum of its proper divisors (50918475371379).

103021101332001 is a wasteful number, since it uses less digits than its factorization.

103021101332001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394716863376 (or 394716863373 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 103021101332001 its reverse (100233101120301), we get a palindrome (203254202452302).

The spelling of 103021101332001 in words is "one hundred three trillion, twenty-one billion, one hundred one million, three hundred thirty-two thousand, one".

Divisors: 1 3 9 29 87 261 394716863341 1184150590023 3552451770069 11446789036889 34340367110667 103021101332001