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10102122212020 = 2251721747772009
BaseRepresentation
bin1001001100000001010101…
…1001111110101010110100
31022202202100021012010200021
42103000111121332222310
52311003121241241040
633252503442254524
72061566002000666
oct223002531765264
938682307163607
1010102122212020
113245316699453
121171a38357444
1358381a532007
1426cd33d7c536
15127ba563124a
hex9301567eab4

10102122212020 has 36 divisors (see below), whose sum is σ = 22535772296940. Its totient is φ = 3803151889408.

The previous prime is 10102122212009. The next prime is 10102122212059. The reversal of 10102122212020 is 2021222120101.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 198299214864 + 9903822997156 = 445308^2 + 3147034^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10102122211985 and 10102122212003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 873880225 + ... + 873891784.

It is an arithmetic number, because the mean of its divisors is an integer number (625993674915).

Almost surely, 210102122212020 is an apocalyptic number.

10102122212020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102122212020 is an abundant number, since it is smaller than the sum of its proper divisors (12433650084920).

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

10102122212020 is a wasteful number, since it uses less digits than its factorization.

10102122212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1747772052 (or 1747772033 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 10102122212020 its reverse (2021222120101), we get a palindrome (12123344332121).

The spelling of 10102122212020 in words is "ten trillion, one hundred two billion, one hundred twenty-two million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 1747772009 3495544018 6991088036 8738860045 17477720090 29712124153 34955440180 59424248306 118848496612 148560620765 297121241530 505106110601 594242483060 1010212221202 2020424442404 2525530553005 5051061106010 10102122212020