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10211320020 = 223511313891283
BaseRepresentation
bin10011000001010010…
…00110000011010100
3222100122101210200210
421200221012003110
5131403044220040
64405132005420
7511021534206
oct114051060324
928318353623
1010211320020
114370029960
121b8b900870
13c697090c5
146cc250776
153eb701480
hex260a460d4

10211320020 has 192 divisors, whose sum is σ = 32305029120. Its totient is φ = 2387596800.

The previous prime is 10211320019. The next prime is 10211320033. The reversal of 10211320020 is 2002311201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10211319978 and 10211320005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7958299 + ... + 7959581.

It is an arithmetic number, because the mean of its divisors is an integer number (168255360).

Almost surely, 210211320020 is an apocalyptic number.

10211320020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10211320020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16152514560).

10211320020 is an abundant number, since it is smaller than the sum of its proper divisors (22093709100).

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

10211320020 is a wasteful number, since it uses less digits than its factorization.

10211320020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1726 (or 1724 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10211320020 its reverse (2002311201), we get a palindrome (12213631221).

The spelling of 10211320020 in words is "ten billion, two hundred eleven million, three hundred twenty thousand, twenty".