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102020113033213 = 1937113227224923
BaseRepresentation
bin10111001100100101101000…
…100110001110011111111101
3111101020000202002101022220211
4113030211220212032133331
5101332444142414030323
61000551220511512421
730326465335461154
oct2714455046163775
9441200662338824
10102020113033213
112a56353a16a561
12b538221528711
1344c05bc60caab
141b29b2a9ac59b
15bbdb9d3e470d
hex5cc96898e7fd

102020113033213 has 48 divisors (see below), whose sum is σ = 111764860787520. Its totient is φ = 92791931871744.

The previous prime is 102020113033127. The next prime is 102020113033243. The reversal of 102020113033213 is 312330311020201.

It is not a de Polignac number, because 102020113033213 - 245 = 66835740944381 is a prime.

It is a super-2 number, since 2×1020201130332132 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102020113033243) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4093399770 + ... + 4093424692.

It is an arithmetic number, because the mean of its divisors is an integer number (2328434599740).

Almost surely, 2102020113033213 is an apocalyptic number.

It is an amenable number.

102020113033213 is a deficient number, since it is larger than the sum of its proper divisors (9744747754307).

102020113033213 is a wasteful number, since it uses less digits than its factorization.

102020113033213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25546 (or 25319 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 102020113033213 its reverse (312330311020201), we get a palindrome (414350424053414).

The spelling of 102020113033213 in words is "one hundred two trillion, twenty billion, one hundred thirteen million, thirty-three thousand, two hundred thirteen".

Divisors: 1 19 37 113 227 703 2147 4181 4313 8399 24923 25651 51529 79439 159581 473537 487369 922151 949087 979051 1906573 2816299 5657521 5822777 17520869 18032653 36224887 53509681 104203063 107492899 110632763 209328277 215442749 639299873 1284257267 1979858197 3977237263 4093412231 12146697587 23654095301 24400888073 47517518879 145121071171 449427810719 902832858701 2757300352249 5369479633327 102020113033213