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2130322100232 = 2334314471426583
BaseRepresentation
bin11111000000000001000…
…101111001000000001000
321112122201210212111001010
4133000001011321000020
5234400344424201412
64310353443523520
7306624240036114
oct37000105710010
97478653774033
102130322100232
11751512319657
122a4a546895a0
13125b720a4051
1475172a42744
153a63426833c
hex1f001179008

2130322100232 has 64 divisors (see below), whose sum is σ = 5453431188480. Its totient is φ = 693113424192.

The previous prime is 2130322100227. The next prime is 2130322100237. The reversal of 2130322100232 is 2320012230312.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2130322100227) and next prime (2130322100237).

It is a junction number, because it is equal to n+sod(n) for n = 2130322100199 and 2130322100208.

It is not an unprimeable number, because it can be changed into a prime (2130322100237) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 780013 + ... + 2206595.

It is an arithmetic number, because the mean of its divisors is an integer number (85209862320).

Almost surely, 22130322100232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2130322100232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726715594240).

2130322100232 is an abundant number, since it is smaller than the sum of its proper divisors (3323109088248).

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

2130322100232 is a wasteful number, since it uses less digits than its factorization.

2130322100232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428082 (or 1428078 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 2130322100232 its reverse (2320012230312), we get a palindrome (4450334330544).

The spelling of 2130322100232 in words is "two trillion, one hundred thirty billion, three hundred twenty-two million, one hundred thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 43 86 129 172 258 344 516 1032 1447 2894 4341 5788 8682 11576 17364 34728 62221 124442 186663 248884 373326 497768 746652 1426583 1493304 2853166 4279749 5706332 8559498 11412664 17118996 34237992 61343069 122686138 184029207 245372276 368058414 490744552 736116828 1472233656 2064265601 4128531202 6192796803 8257062404 12385593606 16514124808 24771187212 49542374424 88763420843 177526841686 266290262529 355053683372 532580525058 710107366744 1065161050116 2130322100232