Search a number
-
+
31012300536 = 23371973913147
BaseRepresentation
bin11100111000011110…
…100010011011111000
32222001022010002122120
4130320132202123320
51002003122104121
622125153121240
72145341130240
oct347036423370
988038102576
1031012300536
11121746a9448
126015b59220
132c0301acb9
141702a78b20
15c17939bc6
hex7387a26f8

31012300536 has 128 divisors (see below), whose sum is σ = 93403392000. Its totient is φ = 8382310272.

The previous prime is 31012300531. The next prime is 31012300549. The reversal of 31012300536 is 63500321013.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31012300531) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2352315 + ... + 2365461.

It is an arithmetic number, because the mean of its divisors is an integer number (729714000).

Almost surely, 231012300536 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 31012300536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46701696000).

31012300536 is an abundant number, since it is smaller than the sum of its proper divisors (62391091464).

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

31012300536 is a wasteful number, since it uses less digits than its factorization.

31012300536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13921 (or 13917 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 24.

Adding to 31012300536 its reverse (63500321013), we get a palindrome (94512621549).

The spelling of 31012300536 in words is "thirty-one billion, twelve million, three hundred thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 56 57 76 84 114 133 152 168 228 266 399 456 532 739 798 1064 1478 1596 2217 2956 3192 4434 5173 5912 8868 10346 13147 14041 15519 17736 20692 26294 28082 31038 39441 41384 42123 52588 56164 62076 78882 84246 92029 98287 105176 112328 124152 157764 168492 184058 196574 249793 276087 294861 315528 336984 368116 393148 499586 552174 589722 736232 749379 786296 999172 1104348 1179444 1498758 1748551 1998344 2208696 2358888 2997516 3497102 5245653 5995032 6994204 9715633 10491306 13988408 19431266 20982612 29146899 38862532 41965224 58293798 68009431 77725064 116587596 136018862 184597027 204028293 233175192 272037724 369194054 408056586 544075448 553791081 738388108 816113172 1107582162 1292179189 1476776216 1632226344 2215164324 2584358378 3876537567 4430328648 5168716756 7753075134 10337433512 15506150268 31012300536