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20020020102100 = 22521775831553011
BaseRepresentation
bin1001000110101010001100…
…01011111100001111010100
32121212220011121211001210201
410203111012023330033110
510111002000121231400
6110325023102230244
74134253522051324
oct443250613741724
977786147731721
1020020020102100
116419496477067
1222b4020285384
13b22b58ba93b5
144d2d8d097284
1524ab7777306a
hex1235462fc3d4

20020020102100 has 72 divisors (see below), whose sum is σ = 46005035989248. Its totient is φ = 7535949964800.

The previous prime is 20020020102029. The next prime is 20020020102157. The reversal of 20020020102100 is 120102002002.

It is a super-3 number, since 3×200200201021003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

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, 12114595 + ... + 13667605.

It is an arithmetic number, because the mean of its divisors is an integer number (638958833184).

Almost surely, 220020020102100 is an apocalyptic number.

20020020102100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020020102100 is an abundant number, since it is smaller than the sum of its proper divisors (25985015887148).

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

20020020102100 is a wasteful number, since it uses less digits than its factorization.

20020020102100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1560625 (or 1560618 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20020020102100 its reverse (120102002002), we get a palindrome (20140122104102).

The spelling of 20020020102100 in words is "twenty trillion, twenty billion, twenty million, one hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 7583 15166 30332 37915 75830 128911 151660 189575 257822 379150 515644 644555 758300 1289110 1553011 2578220 3106022 3222775 6212044 6445550 7765055 12891100 15530110 26401187 31060220 38825275 52802374 77650550 105604748 132005935 155301100 264011870 528023740 660029675 1320059350 2640118700 11776482413 23552964826 47105929652 58882412065 117764824130 200200201021 235529648260 294412060325 400400402042 588824120650 800800804084 1001001005105 1177648241300 2002002010210 4004004020420 5005005025525 10010010051050 20020020102100