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100677740681 = 722298972261
BaseRepresentation
bin101110111000011011…
…1000110100010001001
3100121212101221010200102
41131300313012202021
53122142000200211
6114130053215145
710162613450600
oct1356067064211
9317771833612
10100677740681
1139773a61771
12176189314b5
13965605722b
144c31082a37
1529439b1a3b
hex1770dc6889

100677740681 has 12 divisors (see below), whose sum is σ = 117626354820. Its totient is φ = 85918361760.

The previous prime is 100677740677. The next prime is 100677740687. The reversal of 100677740681 is 186047776001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 53247870025 + 47429870656 = 230755^2 + 217784^2 .

It is not a de Polignac number, because 100677740681 - 22 = 100677740677 is a prime.

It is a super-2 number, since 2×1006777406812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100677740687) 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, 4474910 + ... + 4497351.

It is an arithmetic number, because the mean of its divisors is an integer number (9802196235).

Almost surely, 2100677740681 is an apocalyptic number.

It is an amenable number.

100677740681 is a deficient number, since it is larger than the sum of its proper divisors (16948614139).

100677740681 is an equidigital number, since it uses as much as digits as its factorization.

100677740681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8972504 (or 8972497 counting only the distinct ones).

The product of its (nonzero) digits is 395136, while the sum is 47.

The spelling of 100677740681 in words is "one hundred billion, six hundred seventy-seven million, seven hundred forty thousand, six hundred eighty-one".

Divisors: 1 7 49 229 1603 11221 8972261 62805827 439640789 2054647769 14382534383 100677740681