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31014001224 = 23341034191109
BaseRepresentation
bin11100111000100101…
…000001101001001000
32222001102022111120000
4130320211001221020
51002004041014344
622125253403000
72145361442433
oct347045015110
988042274500
1031014001224
1112175660178
126016639460
132c0349511b
141702d9c81a
15c17b73a69
hex738941a48

31014001224 has 160 divisors (see below), whose sum is σ = 87999912000. Its totient is φ = 10203988608.

The previous prime is 31014001211. The next prime is 31014001241. The reversal of 31014001224 is 42210041013.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 31014001197 and 31014001206.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27965182 + ... + 27966290.

It is an arithmetic number, because the mean of its divisors is an integer number (549999450).

Almost surely, 231014001224 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 31014001224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43999956000).

31014001224 is an abundant number, since it is smaller than the sum of its proper divisors (56985910776).

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

31014001224 is a wasteful number, since it uses less digits than its factorization.

31014001224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1649 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 31014001224 its reverse (42210041013), we get a palindrome (73224042237).

The spelling of 31014001224 in words is "thirty-one billion, fourteen million, one thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 103 108 162 206 216 309 324 412 419 618 648 824 838 927 1109 1236 1257 1676 1854 2218 2472 2514 2781 3327 3352 3708 3771 4436 5028 5562 6654 7416 7542 8343 8872 9981 10056 11124 11313 13308 15084 16686 19962 22248 22626 26616 29943 30168 33372 33939 39924 43157 45252 59886 66744 67878 79848 86314 89829 90504 114227 119772 129471 135756 172628 179658 228454 239544 258942 271512 342681 345256 359316 388413 456908 464671 517884 685362 718632 776826 913816 929342 1028043 1035768 1165239 1370724 1394013 1553652 1858684 2056086 2330478 2741448 2788026 3084129 3107304 3495717 3717368 4112172 4182039 4660956 5576052 6168258 6991434 8224344 8364078 9252387 9321912 11152104 12336516 12546117 13982868 16728156 18504774 24673032 25092234 27965736 33456312 37009548 37638351 47861113 50184468 74019096 75276702 95722226 100368936 143583339 150553404 191444452 287166678 301106808 382888904 430750017 574333356 861500034 1148666712 1292250051 1723000068 2584500102 3446000136 3876750153 5169000204 7753500306 10338000408 15507000612 31014001224