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31224033002140 = 22511416689517513
BaseRepresentation
bin1110001100101111010010…
…11001010100001010011100
311002112222200112201212120221
413012113221121110022130
513043033304422032030
6150224042302251124
76401601434263666
oct706275131241234
9132488615655527
1031224033002140
119a49046691390
123603515586aa4
13145654bb09884
1479d373661536
1539231e823e7a
hex1c65e965429c

31224033002140 has 96 divisors (see below), whose sum is σ = 73287186194880. Its totient is φ = 11075584819200.

The previous prime is 31224033002093. The next prime is 31224033002143. The reversal of 31224033002140 is 4120033042213.

It is a super-2 number, since 2×312240330021402 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31224033002143) 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, 60076024 + ... + 60593536.

It is an arithmetic number, because the mean of its divisors is an integer number (763408189530).

Almost surely, 231224033002140 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 31224033002140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36643593097440).

31224033002140 is an abundant number, since it is smaller than the sum of its proper divisors (42063153192740).

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

31224033002140 is a wasteful number, since it uses less digits than its factorization.

31224033002140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524263 (or 524261 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

Adding to 31224033002140 its reverse (4120033042213), we get a palindrome (35344066044353).

The spelling of 31224033002140 in words is "thirty-one trillion, two hundred twenty-four billion, thirty-three million, two thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 820 902 1804 2255 4510 6689 9020 13378 26756 33445 66890 73579 133780 147158 274249 294316 367895 517513 548498 735790 1035026 1096996 1371245 1471580 2070052 2587565 2742490 3016739 5175130 5484980 5692643 6033478 10350260 11385286 12066956 15083695 21218033 22770572 28463215 30167390 42436066 56926430 60334780 84872132 106090165 113852860 212180330 233398363 424360660 466796726 933593452 1166991815 2333983630 3461644457 4667967260 6923288914 13846577828 17308222285 34616444570 38078089027 69232889140 76156178054 141927422737 152312356108 190390445135 283854845474 380780890270 567709690948 709637113685 761561780540 1419274227370 1561201650107 2838548454740 3122403300214 6244806600428 7806008250535 15612016501070 31224033002140