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2323120213232 = 247136353251149
BaseRepresentation
bin100001110011100100110…
…000010100110011110000
322020002101020112101211222
4201303210300110303300
5301030222233310412
64535120544324212
7326561041000040
oct41634460246360
98202336471758
102323120213232
11816258884525
123162a0313668
1313b0b9322110
1480622453720
154066a2e5072
hex21ce4c14cf0

2323120213232 has 80 divisors (see below), whose sum is σ = 5540642251200. Its totient is φ = 918888247296.

The previous prime is 2323120213217. The next prime is 2323120213237.

2323120213232 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2323120213237) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9124394 + ... + 9375542.

It is an arithmetic number, because the mean of its divisors is an integer number (69258028140).

Almost surely, 22323120213232 is an apocalyptic number.

It is an amenable number.

2323120213232 is an abundant number, since it is smaller than the sum of its proper divisors (3217522037968).

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

2323120213232 is a wasteful number, since it uses less digits than its factorization.

2323120213232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257530 (or 257524 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

It can be divided in two parts, 2323120 and 213232, that added together give a palindrome (2536352).

The spelling of 2323120213232 in words is "two trillion, three hundred twenty-three billion, one hundred twenty million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 6353 12706 25412 44471 50824 82589 88942 101648 165178 177884 251149 330356 355768 502298 578123 660712 711536 1004596 1156246 1321424 1758043 2009192 2312492 3264937 3516086 4018384 4624984 6529874 7032172 9249968 13059748 14064344 22854559 26119496 28128688 45709118 52238992 91418236 182836472 365672944 1595549597 3191099194 6382198388 11168847179 12764396776 20742144761 22337694358 25528793552 41484289522 44675388716 82968579044 89350777432 145195013327 165937158088 178701554864 290390026654 331874316176 580780053308 1161560106616 2323120213232