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100224244422231 = 31719375011557857
BaseRepresentation
bin10110110010011101000110…
…011111001001011001010111
3111010212100021220202110202020
4112302131012133021121113
5101114033223033002411
6553054214322544223
730052651131241056
oct2662350637113127
9433770256673666
10100224244422231
1129a30955154666
12b2a8168808073
1343c014b2a0097
141aa6c44b9639d
15b8c0e1416606
hex5b27467c9657

100224244422231 has 64 divisors (see below), whose sum is σ = 152996260677120. Its totient is φ = 57954187100160.

The previous prime is 100224244422187. The next prime is 100224244422301. The reversal of 100224244422231 is 132224442422001.

It is not a de Polignac number, because 100224244422231 - 210 = 100224244421207 is a prime.

It is a super-2 number, since 2×1002242444222312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100224244422192 and 100224244422201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100224244427231) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 179380455 + ... + 179938311.

It is an arithmetic number, because the mean of its divisors is an integer number (2390566573080).

Almost surely, 2100224244422231 is an apocalyptic number.

100224244422231 is a deficient number, since it is larger than the sum of its proper divisors (52772016254889).

100224244422231 is a wasteful number, since it uses less digits than its factorization.

100224244422231 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562944.

The product of its (nonzero) digits is 49152, while the sum is 33.

Adding to 100224244422231 its reverse (132224442422001), we get a palindrome (232448686844232).

The spelling of 100224244422231 in words is "one hundred trillion, two hundred twenty-four billion, two hundred forty-four million, four hundred twenty-two thousand, two hundred thirty-one".

Divisors: 1 3 17 19 37 51 57 111 323 629 703 969 1887 2109 5011 11951 15033 35853 85187 95209 185407 255561 285627 556221 557857 1618553 1673571 3151919 3522733 4855659 9455757 9483569 10568199 10599283 20640709 28450707 31797849 59886461 61922127 179659383 180187811 350892053 392173471 540563433 1052676159 1176520413 2795421427 6666949007 8386264281 20000847021 47522164259 53113007113 103430592799 142566492777 159339021339 310291778397 902921120921 1758320077583 1965181263181 2708763362763 5274960232749 5895543789543 33408081474077 100224244422231