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10204213230020 = 22517193155504621
BaseRepresentation
bin1001010001111101101010…
…0000010011100111000100
31100010111212011110012101002
42110133122200103213010
52314141212041330040
633411430103152432
72102141626223615
oct224373240234704
940114764405332
1010204213230020
1132846453882a7
12118978a445718
1359033a3061c4
14273c5a9cbc0c
1512a67d20ba15
hex947da8139c4

10204213230020 has 48 divisors (see below), whose sum is σ = 22806929881008. Its totient is φ = 3821681541120.

The previous prime is 10204213229993. The next prime is 10204213230031. The reversal of 10204213230020 is 2003231240201.

It can be written as a sum of positive squares in 8 ways, for example, as 1066506467524 + 9137706762496 = 1032718^2 + 3022864^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10204213229974 and 10204213230001.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 77686691 + ... + 77817930.

It is an arithmetic number, because the mean of its divisors is an integer number (475144372521).

Almost surely, 210204213230020 is an apocalyptic number.

10204213230020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10204213230020 is an abundant number, since it is smaller than the sum of its proper divisors (12602716650988).

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

10204213230020 is a wasteful number, since it uses less digits than its factorization.

10204213230020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 155504840 (or 155504838 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 10204213230020 its reverse (2003231240201), we get a palindrome (12207444470221).

The spelling of 10204213230020 in words is "ten trillion, two hundred four billion, two hundred thirteen million, two hundred thirty thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 193 340 386 772 965 1930 3281 3860 6562 13124 16405 32810 65620 155504621 311009242 622018484 777523105 1555046210 2643578557 3110092420 5287157114 10574314228 13217892785 26435785570 30012391853 52871571140 60024783706 120049567412 150061959265 300123918530 510210661501 600247837060 1020421323002 2040842646004 2551053307505 5102106615010 10204213230020