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210212211020 = 225719611012127
BaseRepresentation
bin1100001111000110011…
…1111100100101001100
3202002121001100202102012
43003301213330211030
511421003311223040
6240323053120352
721121153211660
oct3036147744514
9662531322365
10210212211020
1181172349519
12348a77890b8
1316a90c7a9a6
14a2624c48a0
155704c9e865
hex30f19fc94c

210212211020 has 288 divisors, whose sum is σ = 549458165760. Its totient is φ = 65971584000.

The previous prime is 210212211019. The next prime is 210212211023. The reversal of 210212211020 is 20112212012.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a junction number, because it is equal to n+sod(n) for n = 210212210986 and 210212211004.

It is not an unprimeable number, because it can be changed into a prime (210212211023) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1655214197 + ... + 1655214323.

Almost surely, 2210212211020 is an apocalyptic number.

210212211020 is a gapful number since it is divisible by the number (20) 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 210212211020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274729082880).

210212211020 is an abundant number, since it is smaller than the sum of its proper divisors (339245954740).

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

210212211020 is a wasteful number, since it uses less digits than its factorization.

210212211020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 210212211020 its reverse (20112212012), we get a palindrome (230324423032).

The spelling of 210212211020 in words is "two hundred ten billion, two hundred twelve million, two hundred eleven thousand, twenty".