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42012130310112 = 2534583689913841
BaseRepresentation
bin10011000110101101101100…
…00110100111011111100000
312111202022122121002110111110
421203112312012213133200
521001311320324410422
6225204034535543320
711564163516350304
oct1143266606473740
9174668577073443
1042012130310112
1112428276340436
12486629552ab40
131a5995ac8a311
14a5357ddc7d04
154ccc72b0a60c
hex2635b61a77e0

42012130310112 has 96 divisors (see below), whose sum is σ = 110329864646400. Its totient is φ = 13997946951680.

The previous prime is 42012130310057. The next prime is 42012130310119. The reversal of 42012130310112 is 21101303121024.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42012130310119) 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, 3035332312 + ... + 3035346152.

It is an arithmetic number, because the mean of its divisors is an integer number (1149269423400).

Almost surely, 242012130310112 is an apocalyptic number.

It is an amenable number.

42012130310112 is an abundant number, since it is smaller than the sum of its proper divisors (68317734336288).

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

42012130310112 is a wasteful number, since it uses less digits than its factorization.

42012130310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25336 (or 25328 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 42012130310112 its reverse (21101303121024), we get a palindrome (63113433431136).

The spelling of 42012130310112 in words is "forty-two trillion, twelve billion, one hundred thirty million, three hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 4583 6899 9166 13749 13798 13841 18332 20697 27498 27596 27682 36664 41394 41523 54996 55192 55364 73328 82788 83046 109992 110384 110728 146656 165576 166092 219984 220768 221456 331152 332184 439968 442912 662304 664368 1328736 31618117 63236234 63433303 94854351 95489059 126472468 126866606 189708702 190299909 190978118 252944936 253733212 286467177 379417404 380599818 381956236 505889872 507466424 572934354 758834808 761199636 763912472 1011779744 1014932848 1145868708 1517669616 1522399272 1527824944 2029865696 2291737416 3035339232 3044798544 3055649888 4583474832 6089597088 9166949664 437626357397 875252714794 1312879072191 1750505429588 2625758144382 3501010859176 5251516288764 7002021718352 10503032577528 14004043436704 21006065155056 42012130310112