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20210001100120 = 2351350976356359
BaseRepresentation
bin1001001100001100000011…
…11011111011110101011000
32122120001112201120201100201
410212012001323323311120
510122110040240200440
6110552202450311544
74154060444642116
oct446060173736530
978501481521321
1020210001100120
116492016824837
122324a005885b4
13b37a445b7020
144dc2526aaab6
15250a9633419a
hex126181efbd58

20210001100120 has 64 divisors (see below), whose sum is σ = 49066596936000. Its totient is φ = 7447493733888.

The previous prime is 20210001100103. The next prime is 20210001100123. The reversal of 20210001100120 is 2100110001202.

It is a super-2 number, since 2×202100011001202 (a number of 27 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 20210001100097 and 20210001100106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20210001100123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37913500 + ... + 38442859.

It is an arithmetic number, because the mean of its divisors is an integer number (766665577125).

Almost surely, 220210001100120 is an apocalyptic number.

20210001100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20210001100120 is an abundant number, since it is smaller than the sum of its proper divisors (28856595835880).

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

20210001100120 is a wasteful number, since it uses less digits than its factorization.

20210001100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76356892 (or 76356888 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 20210001100120 its reverse (2100110001202), we get a palindrome (22310111101322).

The spelling of 20210001100120 in words is "twenty trillion, two hundred ten billion, one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 509 520 1018 2036 2545 4072 5090 6617 10180 13234 20360 26468 33085 52936 66170 132340 264680 76356359 152712718 305425436 381781795 610850872 763563590 992632667 1527127180 1985265334 3054254360 3970530668 4963163335 7941061336 9926326670 19852653340 38865386731 39705306680 77730773462 155461546924 194326933655 310923093848 388653867310 505250027503 777307734620 1010500055006 1554615469240 2021000110012 2526250137515 4042000220024 5052500275030 10105000550060 20210001100120