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20201132100 = 22352613493163
BaseRepresentation
bin10010110100000101…
…001101000001000100
31221010211222211121210
4102310011031001010
5312332442211400
613140312211420
71313413534602
oct226405150104
957124884553
1020201132100
1186270155a6
123ab9399b70
131b9c26a306
14d98cc0872
157d374a950
hex4b414d044

20201132100 has 144 divisors (see below), whose sum is σ = 59595838400. Its totient is φ = 5281804800.

The previous prime is 20201132053. The next prime is 20201132111. The reversal of 20201132100 is 123110202.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 6385119 + ... + 6388281.

Almost surely, 220201132100 is an apocalyptic number.

20201132100 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 20201132100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29797919200).

20201132100 is an abundant number, since it is smaller than the sum of its proper divisors (39394706300).

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

20201132100 is a wasteful number, since it uses less digits than its factorization.

20201132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3590 (or 3583 counting only the distinct ones).

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

Adding to 20201132100 its reverse (123110202), we get a palindrome (20324242302).

The spelling of 20201132100 in words is "twenty billion, two hundred one million, one hundred thirty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 150 183 244 300 305 349 366 610 698 732 915 1047 1220 1396 1525 1745 1830 2094 3050 3163 3490 3660 4188 4575 5235 6100 6326 6980 8725 9150 9489 10470 12652 15815 17450 18300 18978 20940 21289 26175 31630 34900 37956 42578 47445 52350 63260 63867 79075 85156 94890 104700 106445 127734 158150 189780 192943 212890 237225 255468 316300 319335 385886 425780 474450 532225 578829 638670 771772 948900 964715 1064450 1103887 1157658 1277340 1596675 1929430 2128900 2207774 2315316 2894145 3193350 3311661 3858860 4415548 4823575 5519435 5788290 6386700 6623322 9647150 11038870 11576580 13246644 14470725 16558305 19294300 22077740 27597175 28941450 33116610 55194350 57882900 66233220 67337107 82791525 110388700 134674214 165583050 202011321 269348428 331166100 336685535 404022642 673371070 808045284 1010056605 1346742140 1683427675 2020113210 3366855350 4040226420 5050283025 6733710700 10100566050 20201132100