Search a number
-
+
210213312012 = 223211530841697
BaseRepresentation
bin1100001111000110110…
…0001001011000001100
3202002121010102200200200
43003301230021120030
511421004101441022
6240323132453500
721121165445604
oct3036154113014
9662533380620
10210213312012
1181172a30730
12348a801a290
1316a91274b72
14a2626cdc04
155704e1abac
hex30f1b0960c

210213312012 has 36 divisors (see below), whose sum is σ = 579679134216. Its totient is φ = 63701003520.

The previous prime is 210213311981. The next prime is 210213312019.

210213312012 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (210213312019) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 265420453 + ... + 265421244.

Almost surely, 2210213312012 is an apocalyptic number.

210213312012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

210213312012 is an abundant number, since it is smaller than the sum of its proper divisors (369465822204).

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

210213312012 is a wasteful number, since it uses less digits than its factorization.

210213312012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 530841718 (or 530841713 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

It can be divided in two parts, 210213 and 312012, that added together give a palindrome (522225).

The spelling of 210213312012 in words is "two hundred ten billion, two hundred thirteen million, three hundred twelve thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 530841697 1061683394 1592525091 2123366788 3185050182 4777575273 5839258667 6370100364 9555150546 11678517334 17517776001 19110301092 23357034668 35035552002 52553328003 70071104004 105106656006 210213312012