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2122531525312 = 2611127165714327
BaseRepresentation
bin11110111000110000101…
…111001101001011000000
321111220121212112021100021
4132320300233031023000
5234233421032302222
64303024424503224
7306230211166522
oct36706057151300
97456555467307
102122531525312
11749184791390
122a343b61ab14
131252000681c3
1474a340d1a12
153a32a339ac7
hex1ee30bcd2c0

2122531525312 has 112 divisors (see below), whose sum is σ = 4634096099328. Its totient is φ = 956545873920.

The previous prime is 2122531525297. The next prime is 2122531525369. The reversal of 2122531525312 is 2135251352212.

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, 148141893 + ... + 148156219.

Almost surely, 22122531525312 is an apocalyptic number.

2122531525312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2122531525312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2317048049664).

2122531525312 is an abundant number, since it is smaller than the sum of its proper divisors (2511564574016).

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

2122531525312 is a wasteful number, since it uses less digits than its factorization.

2122531525312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16134 (or 16124 counting only the distinct ones).

The product of its digits is 36000, while the sum is 34.

Adding to 2122531525312 its reverse (2135251352212), we get a palindrome (4257782877524).

The spelling of 2122531525312 in words is "two trillion, one hundred twenty-two billion, five hundred thirty-one million, five hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 127 176 254 352 508 704 1016 1397 1657 2032 2794 3314 4064 5588 6628 8128 11176 13256 14327 18227 22352 26512 28654 36454 44704 53024 57308 72908 89408 106048 114616 145816 157597 210439 229232 291632 315194 420878 458464 583264 630388 841756 916928 1166528 1260776 1683512 1819529 2314829 2521552 3367024 3639058 4629658 5043104 6734048 7278116 9259316 10086208 13468096 14556232 18518632 20014819 23739839 29112464 37037264 40029638 47479678 58224928 74074528 80059276 94959356 116449856 148149056 160118552 189918712 261138229 320237104 379837424 522276458 640474208 759674848 1044552916 1280948416 1519349696 2089105832 3014959553 4178211664 6029919106 8356423328 12059838212 16712846656 24119676424 33164555083 48239352848 66329110166 96478705696 132658220332 192957411392 265316440664 530632881328 1061265762656 2122531525312