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20201132000 = 255372103067
BaseRepresentation
bin10010110100000101…
…001100111111100000
31221010211222211111002
4102310011030333200
5312332442211000
613140312211132
71313413534400
oct226405147740
957124884432
1020201132000
118627015515
123ab9399aa8
131b9c26a25a
14d98cc0800
157d374a8d5
hex4b414cfe0

20201132000 has 144 divisors (see below), whose sum is σ = 57738281328. Its totient is φ = 6926035200.

The previous prime is 20201131969. The next prime is 20201132053. The reversal of 20201132000 is 23110202.

It is a happy number.

It is a congruent number.

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, 144467 + ... + 247533.

It is an arithmetic number, because the mean of its divisors is an integer number (400960287).

Almost surely, 220201132000 is an apocalyptic number.

20201132000 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 20201132000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28869140664).

20201132000 is an abundant number, since it is smaller than the sum of its proper divisors (37537149328).

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

20201132000 is a wasteful number, since it uses less digits than its factorization.

20201132000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103106 (or 103081 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 20201132000 its reverse (23110202), we get a palindrome (20224242202).

The spelling of 20201132000 in words is "twenty billion, two hundred one million, one hundred thirty-two thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 70 80 98 100 112 125 140 160 175 196 200 224 245 250 280 350 392 400 490 500 560 700 784 800 875 980 1000 1120 1225 1400 1568 1750 1960 2000 2450 2800 3500 3920 4000 4900 5600 6125 7000 7840 9800 12250 14000 19600 24500 28000 39200 49000 98000 103067 196000 206134 412268 515335 721469 824536 1030670 1442938 1649072 2061340 2576675 2885876 3298144 3607345 4122680 5050283 5153350 5771752 7214690 8245360 10100566 10306700 11543504 12883375 14429380 16490720 18036725 20201132 20613400 23087008 25251415 25766750 28858760 36073450 40402264 41226800 50502830 51533500 57717520 72146900 80804528 82453600 90183625 101005660 103067000 115435040 126257075 144293800 161609056 180367250 202011320 206134000 252514150 288587600 360734500 404022640 412268000 505028300 577175200 631285375 721469000 808045280 1010056600 1262570750 1442938000 2020113200 2525141500 2885876000 4040226400 5050283000 10100566000 20201132000