Search a number
-
+
1230010021344 = 253133131793063
BaseRepresentation
bin10001111001100010010…
…011110111010111100000
311100120212111212011001110
4101321202103313113200
5130123030031140334
62341020411303320
7154602536450436
oct21714223672740
94316774764043
101230010021344
1143470a655325
1217a473a4ab40
138bcb2a7b2a0
1443766020d56
1521ede643ae9
hex11e624f75e0

1230010021344 has 96 divisors (see below), whose sum is σ = 3589309753344. Its totient is φ = 366256074240.

The previous prime is 1230010021327. The next prime is 1230010021399. The reversal of 1230010021344 is 4431200100321.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 1230010021344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15857844 + ... + 15935219.

It is an arithmetic number, because the mean of its divisors is an integer number (37388643264).

Almost surely, 21230010021344 is an apocalyptic number.

It is an amenable number.

1230010021344 is an abundant number, since it is smaller than the sum of its proper divisors (2359299732000).

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

1230010021344 is a wasteful number, since it uses less digits than its factorization.

1230010021344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31793120 (or 31793112 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 1230010021344 its reverse (4431200100321), we get a palindrome (5661210121665).

The spelling of 1230010021344 in words is "one trillion, two hundred thirty billion, ten million, twenty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 4836 6448 9672 12896 19344 38688 31793063 63586126 95379189 127172252 190758378 254344504 381516756 413309819 508689008 763033512 826619638 985584953 1017378016 1239929457 1526067024 1653239276 1971169906 2479858914 2956754859 3052134048 3306478552 3942339812 4959717828 5913509718 6612957104 7884679624 9919435656 11827019436 12812604389 13225914208 15769359248 19838871312 23654038872 25625208778 31538718496 38437813167 39677742624 47308077744 51250417556 76875626334 94616155488 102500835112 153751252668 205001670224 307502505336 410003340448 615005010672 1230010021344