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212301303103212 = 223472523231491821
BaseRepresentation
bin110000010001011000111111…
…110000011011111011101100
31000211200210202211122200122220
4300101120333300123323230
5210311321032043300322
62031305512222435340
762501156126416341
oct6021307760337354
91024623684580586
10212301303103212
1161711527a11154
121b9894b8a32b50
13915cc0876094b
143a5d61b8327c8
15198269dc7355c
hexc1163fc1beec

212301303103212 has 48 divisors (see below), whose sum is σ = 505911832376832. Its totient is φ = 69261097111360.

The previous prime is 212301303103189. The next prime is 212301303103231.

212301303103212 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2123013031032122 (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141564262 + ... + 143056082.

It is an arithmetic number, because the mean of its divisors is an integer number (10539829841184).

Almost surely, 2212301303103212 is an apocalyptic number.

It is an amenable number.

212301303103212 is an abundant number, since it is smaller than the sum of its proper divisors (293610529273620).

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

212301303103212 is a wasteful number, since it uses less digits than its factorization.

212301303103212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1744198 (or 1744196 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

It can be divided in two parts, 21230130 and 3103212, that added together give a palindrome (24333342).

The spelling of 212301303103212 in words is "two hundred twelve trillion, three hundred one billion, three hundred three million, one hundred three thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 47 94 141 188 282 564 252323 504646 756969 1009292 1491821 1513938 2983642 3027876 4475463 5967284 8950926 11859181 17901852 23718362 35577543 47436724 70115587 71155086 140231174 142310172 210346761 280462348 420693522 841387044 376420750183 752841500366 1129262250549 1505683000732 2258524501098 4517049002196 17691775258601 35383550517202 53075325775803 70767101034404 106150651551606 212301303103212