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31045501134120 = 23351131758687711
BaseRepresentation
bin1110000111100010110000…
…00100010010010100101000
311001220220212100112021210210
413003301120010102110220
513032122141242242440
6150010034544541120
76352651313403024
oct703613004222450
9131826770467723
1031045501134120
11998a361043520
1235949ab6217a0
1314427693aa295
14794878831384
1538c870e6ca80
hex1c3c58112528

31045501134120 has 128 divisors (see below), whose sum is σ = 104880989306880. Its totient is φ = 7283402016000.

The previous prime is 31045501134107. The next prime is 31045501134121. The reversal of 31045501134120 is 2143110554013.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (31045501134121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 379302936 + ... + 379384775.

It is an arithmetic number, because the mean of its divisors is an integer number (819382728960).

Almost surely, 231045501134120 is an apocalyptic number.

31045501134120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31045501134120 is an abundant number, since it is smaller than the sum of its proper divisors (73835488172760).

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

31045501134120 is a wasteful number, since it uses less digits than its factorization.

31045501134120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758687767 (or 758687763 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 31045501134120 its reverse (2143110554013), we get a palindrome (33188611688133).

The spelling of 31045501134120 in words is "thirty-one trillion, forty-five billion, five hundred one million, one hundred thirty-four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 31 33 40 44 55 60 62 66 88 93 110 120 124 132 155 165 186 220 248 264 310 330 341 372 440 465 620 660 682 744 930 1023 1240 1320 1364 1705 1860 2046 2728 3410 3720 4092 5115 6820 8184 10230 13640 20460 40920 758687711 1517375422 2276063133 3034750844 3793438555 4552126266 6069501688 7586877110 8345564821 9104252532 11380315665 15173754220 16691129642 18208505064 22760631330 23519319041 25036694463 30347508440 33382259284 41727824105 45521262660 47038638082 50073388926 66764518568 70557957123 83455648210 91042525320 94077276164 100146777852 117596595205 125183472315 141115914246 166911296420 188154552328 200293555704 235193190410 250366944630 258712509451 282231828492 333822592840 352789785615 470386380820 500733889260 517425018902 564463656984 705579571230 776137528353 940772761640 1001467778520 1034850037804 1293562547255 1411159142460 1552275056706 2069700075608 2587125094510 2822318284920 3104550113412 3880687641765 5174250189020 6209100226824 7761375283530 10348500378040 15522750567060 31045501134120