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20231332100 = 225271032771013
BaseRepresentation
bin10010110101111000…
…011010000100000100
31221012221211011020022
4102311320122010010
5312413210111400
613143311354312
71314231325340
oct226570320404
957187734208
1020231332100
118642072281
123b07522998
131ba55b2335
14d9cd02620
157d6213b85
hex4b5e1a104

20231332100 has 144 divisors (see below), whose sum is σ = 50893909248. Its totient is φ = 6837557760.

The previous prime is 20231332073. The next prime is 20231332111. The reversal of 20231332100 is 123313202.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19971194 + ... + 19972206.

Almost surely, 220231332100 is an apocalyptic number.

20231332100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20231332100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25446954624).

20231332100 is an abundant number, since it is smaller than the sum of its proper divisors (30662577148).

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

20231332100 is a wasteful number, since it uses less digits than its factorization.

20231332100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1414 (or 1407 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 20231332100 its reverse (123313202), we get a palindrome (20354645302).

The spelling of 20231332100 in words is "twenty billion, two hundred thirty-one million, three hundred thirty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 103 140 175 206 277 350 412 515 554 700 721 1013 1030 1108 1385 1442 1939 2026 2060 2575 2770 2884 3605 3878 4052 5065 5150 5540 6925 7091 7210 7756 9695 10130 10300 13850 14182 14420 18025 19390 20260 25325 27700 28364 28531 35455 36050 38780 48475 50650 57062 70910 72100 96950 101300 104339 114124 141820 142655 177275 193900 199717 208678 280601 285310 354550 399434 417356 521695 561202 570620 709100 713275 730373 798868 998585 1043390 1122404 1403005 1426550 1460746 1964207 1997170 2086780 2608475 2806010 2853100 2921492 3651865 3928414 3994340 4992925 5216950 5612020 7015025 7303730 7856828 9821035 9985850 10433900 14030050 14607460 18259325 19642070 19971700 28060100 28901903 36518650 39284140 49105175 57803806 73037300 98210350 115607612 144509515 196420700 202313321 289019030 404626642 578038060 722547575 809253284 1011566605 1445095150 2023133210 2890190300 4046266420 5057833025 10115666050 20231332100