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100312010022 = 23723783111103
BaseRepresentation
bin101110101101100001…
…1111100110100100110
3100120220220202002112110
41131123003330310212
53120414333310042
6114025510301450
710150553005500
oct1353303746446
9316826662473
10100312010022
11395a6572924
1217536357886
1395c8353c63
144bd867cd70
15292181c09c
hex175b0fcd26

100312010022 has 96 divisors (see below), whose sum is σ = 242576474112. Its totient is φ = 27549740736.

The previous prime is 100312009961. The next prime is 100312010023. The reversal of 100312010022 is 220010213001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100312010023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 847323 + ... + 958425.

It is an arithmetic number, because the mean of its divisors is an integer number (2526838272).

Almost surely, 2100312010022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100312010022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121288237056).

100312010022 is an abundant number, since it is smaller than the sum of its proper divisors (142264464090).

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

100312010022 is a wasteful number, since it uses less digits than its factorization.

100312010022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111242 (or 111235 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100312010022 its reverse (220010213001), we get a palindrome (320322223023).

The spelling of 100312010022 in words is "one hundred billion, three hundred twelve million, ten thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 37 42 49 74 83 98 111 147 166 222 249 259 294 498 518 581 777 1162 1554 1743 1813 3071 3486 3626 4067 5439 6142 8134 9213 10878 12201 18426 21497 24402 42994 64491 111103 128982 150479 222206 300958 333309 451437 666618 777721 902874 1555442 2333163 4110811 4666326 5444047 8221622 9221549 10888094 12332433 16332141 18443098 24664866 27664647 28775677 32664282 55329294 57551354 64550843 86327031 129101686 172654062 193652529 201429739 341197313 387305058 402859478 451855901 604289217 682394626 903711802 1023591939 1208578434 1355567703 2047183878 2388381191 2711135406 4776762382 7165143573 14330287146 16718668337 33437336674 50156005011 100312010022