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213120213102 = 235736007109
BaseRepresentation
bin1100011001111011110…
…1000110000001101110
3202101002201021120100000
43012132331012001232
511442432233304402
6241523413445130
721253213631106
oct3063675060156
9671081246300
10213120213102
1182424893525
12353796407a6
1317135590a94
14a45a7c0206
15582521ec1c
hex319ef4606e

213120213102 has 48 divisors (see below), whose sum is σ = 485422544880. Its totient is φ = 70066907712.

The previous prime is 213120213079. The next prime is 213120213107. The reversal of 213120213102 is 201312021312.

213120213102 is a `hidden beast` number, since 21 + 312 + 0 + 21 + 310 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213120213107) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2968077 + ... + 3039032.

It is an arithmetic number, because the mean of its divisors is an integer number (10112969685).

Almost surely, 2213120213102 is an apocalyptic number.

213120213102 is an abundant number, since it is smaller than the sum of its proper divisors (272302331778).

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

213120213102 is an equidigital number, since it uses as much as digits as its factorization.

213120213102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6007199 (or 6007187 counting only the distinct ones).

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

Adding to 213120213102 its reverse (201312021312), we get a palindrome (414432234414).

It can be divided in two parts, 21312021310 and 2, that added together give a palindrome (21312021312).

The spelling of 213120213102 in words is "two hundred thirteen billion, one hundred twenty million, two hundred thirteen thousand, one hundred two".

Divisors: 1 2 3 6 9 18 27 54 73 81 146 162 219 243 438 486 657 1314 1971 3942 5913 11826 17739 35478 6007109 12014218 18021327 36042654 54063981 108127962 162191943 324383886 438518957 486575829 877037914 973151658 1315556871 1459727487 2631113742 2919454974 3946670613 7893341226 11840011839 23680023678 35520035517 71040071034 106560106551 213120213102