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2153111441232 = 243251190194009
BaseRepresentation
bin11111010101001111011…
…100010100111101010000
321121211120001000221210210
4133111033130110331100
5240234033012104412
64325043054324120
7311362052165403
oct37251734247520
97554501027723
102153111441232
11760147305874
122a93547b9640
131280646163cb
14762d5575d3a
153b019d1583c
hex1f54f714f50

2153111441232 has 80 divisors (see below), whose sum is σ = 5587361760960. Its totient is φ = 714460800000.

The previous prime is 2153111441231. The next prime is 2153111441233. The reversal of 2153111441232 is 2321441113512.

It is an interprime number because it is at equal distance from previous prime (2153111441231) and next prime (2153111441233).

It is a self number, because there is not a number n which added to its sum of digits gives 2153111441232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153111441231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 22856244 + ... + 22950252.

It is an arithmetic number, because the mean of its divisors is an integer number (69842022012).

Almost surely, 22153111441232 is an apocalyptic number.

It is an amenable number.

2153111441232 is an abundant number, since it is smaller than the sum of its proper divisors (3434250319728).

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

2153111441232 is a wasteful number, since it uses less digits than its factorization.

2153111441232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96172 (or 96166 counting only the distinct ones).

The product of its digits is 5760, while the sum is 30.

Adding to 2153111441232 its reverse (2321441113512), we get a palindrome (4474552554744).

It can be divided in two parts, 215311144 and 1232, that added together give a triangular number (215312376 = T20751).

The spelling of 2153111441232 in words is "two trillion, one hundred fifty-three billion, one hundred eleven million, four hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 251 502 753 1004 1506 1901 2008 3012 3802 4016 5703 6024 7604 11406 12048 15208 22812 30416 45624 91248 94009 188018 282027 376036 477151 564054 752072 954302 1128108 1431453 1504144 1908604 2256216 2862906 3817208 4512432 5725812 7634416 11451624 22903248 23596259 47192518 70788777 94385036 141577554 178711109 188770072 283155108 357422218 377540144 536133327 566310216 714844436 1072266654 1132620432 1429688872 2144533308 2859377744 4289066616 8578133232 44856488359 89712976718 134569465077 179425953436 269138930154 358851906872 538277860308 717703813744 1076555720616 2153111441232