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21020132012200 = 2352409497351673
BaseRepresentation
bin1001100011110001000011…
…00000000111000010101000
32202102111122010211010002021
410301320201200013002220
510223343212243342300
6112412303151314224
74266440316036016
oct461704140070250
982374563733067
1021020132012200
116774651588742
122435a1381b974
13b962613c8819
145295463118b6
15266badc42d1a
hex131e218070a8

21020132012200 has 96 divisors (see below), whose sum is σ = 49002097649400. Its totient is φ = 8385646325760.

The previous prime is 21020132012171. The next prime is 21020132012213. The reversal of 21020132012200 is 221023102012.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 13100736816036 + 7919395196164 = 3619494^2 + 2814142^2 .

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, 406765564 + ... + 406817236.

Almost surely, 221020132012200 is an apocalyptic number.

21020132012200 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 21020132012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24501048824700).

21020132012200 is an abundant number, since it is smaller than the sum of its proper divisors (27981965637200).

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

21020132012200 is a wasteful number, since it uses less digits than its factorization.

21020132012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57071 (or 57062 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 21020132012200 its reverse (221023102012), we get a palindrome (21241155114212).

The spelling of 21020132012200 in words is "twenty-one trillion, twenty billion, one hundred thirty-two million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 409 818 1636 2045 3272 4090 4973 8180 9946 10225 16360 19892 20450 24865 39784 40900 49730 51673 81800 99460 103346 124325 198920 206692 248650 258365 413384 497300 516730 994600 1033460 1291825 2033957 2066920 2583650 4067914 5167300 8135828 10169785 10334600 16271656 20339570 21134257 40679140 42268514 50848925 81358280 84537028 101697850 105671285 169074056 203395700 211342570 256969829 406791400 422685140 513939658 528356425 845370280 1027879316 1056712850 1284849145 2055758632 2113425700 2569698290 4226851400 5139396580 6424245725 10278793160 12848491450 25696982900 51393965800 105100660061 210201320122 420402640244 525503300305 840805280488 1051006600610 2102013201220 2627516501525 4204026402440 5255033003050 10510066006100 21020132012200