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2112000244024 = 2311175397274609
BaseRepresentation
bin11110101110111101000…
…001100011100100111000
321110220102221001202022011
4132232331001203210320
5234100334030302044
64254123422535304
7305405222604526
oct36567501434470
97426387052264
102112000244024
11744770094930
122a13a0737534
13124212292708
1474315593316
1539e109d5134
hex1ebbd063938

2112000244024 has 128 divisors (see below), whose sum is σ = 4708485028800. Its totient is φ = 877339607040.

The previous prime is 2112000244021. The next prime is 2112000244051. The reversal of 2112000244024 is 4204420002112.

It is a super-3 number, since 3×21120002440243 (a number of 38 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2112000243986 and 2112000244004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112000244021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7553632 + ... + 7828240.

Almost surely, 22112000244024 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 2112000244024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2354242514400).

2112000244024 is an abundant number, since it is smaller than the sum of its proper divisors (2596484784776).

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

2112000244024 is a wasteful number, since it uses less digits than its factorization.

2112000244024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274793 (or 274789 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 2112000244024 its reverse (4204420002112), we get a palindrome (6316420246136).

The spelling of 2112000244024 in words is "two trillion, one hundred twelve billion, two hundred forty-four thousand, twenty-four".

Divisors: 1 2 4 8 11 17 22 34 44 53 68 88 97 106 136 187 194 212 374 388 424 583 748 776 901 1067 1166 1496 1649 1802 2134 2332 3298 3604 4268 4664 5141 6596 7208 8536 9911 10282 13192 18139 19822 20564 36278 39644 41128 56551 72556 79288 87397 113102 145112 174794 226204 274609 349588 452408 549218 699176 961367 1098436 1922734 2196872 3020699 3845468 4668353 6041398 7690936 9336706 12082796 14554277 18673412 24165592 26637073 29108554 37346824 51351883 53274146 58217108 102703766 106548292 116434216 160097047 205407532 213096584 247422709 293007803 320194094 410815064 452830241 494845418 586015606 640388188 905660482 989690836 1172031212 1280776376 1411764869 1811320964 1979381672 2344062424 2721649799 2823529738 3622641928 4981132651 5443299598 5647059476 9962265302 10886599196 11294118952 15529413559 19924530604 21773198392 24000002773 31058827118 39849061208 48000005546 62117654236 96000011092 124235308472 192000022184 264000030503 528000061006 1056000122012 2112000244024