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31132451412 = 2235235923603
BaseRepresentation
bin11100111111101000…
…111000001001010100
32222100200012101200000
4130333220320021110
51002224401421122
622145124251300
72151330320316
oct347750701124
988320171600
1031132451412
1112226503597
12604a240b30
132c21b987aa
1417149d37b6
15c232700ac
hex73fa38254

31132451412 has 144 divisors (see below), whose sum is σ = 86605908480. Its totient is φ = 9757633248.

The previous prime is 31132451369. The next prime is 31132451419. The reversal of 31132451412 is 21415423113.

31132451412 is a `hidden beast` number, since 3 + 1 + 1 + 3 + 245 + 1 + 412 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31132451419) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1307203 + ... + 1330805.

It is an arithmetic number, because the mean of its divisors is an integer number (601429920).

Almost surely, 231132451412 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 31132451412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43302954240).

31132451412 is an abundant number, since it is smaller than the sum of its proper divisors (55473457068).

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

31132451412 is a wasteful number, since it uses less digits than its factorization.

31132451412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23704 (or 23690 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

Adding to 31132451412 its reverse (21415423113), we get a palindrome (52547874525).

The spelling of 31132451412 in words is "thirty-one billion, one hundred thirty-two million, four hundred fifty-one thousand, four hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 23 27 36 46 54 59 69 81 92 108 118 138 162 177 207 236 243 276 324 354 414 486 531 621 708 828 972 1062 1242 1357 1593 1863 2124 2484 2714 3186 3726 4071 4779 5428 5589 6372 7452 8142 9558 11178 12213 14337 16284 19116 22356 23603 24426 28674 36639 47206 48852 57348 70809 73278 94412 109917 141618 146556 212427 219834 283236 329751 424854 439668 542869 637281 659502 849708 1085738 1274562 1319004 1392577 1628607 1911843 2171476 2549124 2785154 3257214 3823686 4177731 4885821 5570308 5735529 6514428 7647372 8355462 9771642 11471058 12533193 14657463 16710924 19543284 22942116 25066386 29314926 32029271 37599579 43972389 50132772 58629852 64058542 75199158 87944778 96087813 112798737 128117084 131917167 150398316 175889556 192175626 225597474 263834334 288263439 338396211 384351252 451194948 527668668 576526878 676792422 864790317 1153053756 1353584844 1729580634 2594370951 3459161268 5188741902 7783112853 10377483804 15566225706 31132451412