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100332223012 = 22722983212671
BaseRepresentation
bin101110101110001000…
…1000011101000100100
3100120222022210000112201
41131130101003220210
53120440022114022
6114031511424244
710151216552500
oct1353421035044
9316868700481
10100332223012
1139606a1917a
1217541085084
1395cc5b02c8
144bdb221300
1529234b1127
hex175c443a24

100332223012 has 72 divisors (see below), whose sum is σ = 213837442560. Its totient is φ = 41016386880.

The previous prime is 100332223009. The next prime is 100332223037. The reversal of 100332223012 is 210322233001.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365437 + ... + 578107.

It is an arithmetic number, because the mean of its divisors is an integer number (2969964480).

Almost surely, 2100332223012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100332223012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106918721280).

100332223012 is an abundant number, since it is smaller than the sum of its proper divisors (113505219548).

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

100332223012 is a wasteful number, since it uses less digits than its factorization.

100332223012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212801 (or 212792 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 100332223012 its reverse (210322233001), we get a palindrome (310654456013).

The spelling of 100332223012 in words is "one hundred billion, three hundred thirty-two million, two hundred twenty-three thousand, twelve".

Divisors: 1 2 4 7 14 28 29 49 58 83 98 116 166 196 203 332 406 581 812 1162 1421 2324 2407 2842 4067 4814 5684 8134 9628 16268 16849 33698 67396 117943 212671 235886 425342 471772 850684 1488697 2977394 5954788 6167459 10420879 12334918 17651693 20841758 24669836 35303386 41683516 43172213 70606772 86344426 123561851 172688852 247123702 302205491 494247404 511899097 604410982 864932957 1023798194 1208821964 1729865914 2047596388 3459731828 3583293679 7166587358 14333174716 25083055753 50166111506 100332223012