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1330312232130 = 2357192819118273
BaseRepresentation
bin10011010110111100110…
…010011011110011000010
311201011202202011101120020
4103112330302123303002
5133243434412412010
62455045331554310
7165053243254110
oct23267462336302
94634682141506
101330312232130
11473200634902
121959a6a5b996
13985a9080b7b
144855d26cab0
1524910177470
hex135bcc9bcc2

1330312232130 has 128 divisors (see below), whose sum is σ = 3842296473600. Its totient is φ = 287962988544.

The previous prime is 1330312232129. The next prime is 1330312232281. The reversal of 1330312232130 is 312322130331.

It is a self number, because there is not a number n which added to its sum of digits gives 1330312232130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11188674 + ... + 11306946.

It is an arithmetic number, because the mean of its divisors is an integer number (30017941200).

Almost surely, 21330312232130 is an apocalyptic number.

1330312232130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330312232130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1921148236800).

1330312232130 is an abundant number, since it is smaller than the sum of its proper divisors (2511984241470).

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

1330312232130 is a wasteful number, since it uses less digits than its factorization.

1330312232130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121128.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 1330312232130 its reverse (312322130331), we get a palindrome (1642634362461).

The spelling of 1330312232130 in words is "one trillion, three hundred thirty billion, three hundred twelve million, two hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 19 21 30 35 38 42 57 70 95 105 114 133 190 210 266 285 399 570 665 798 1330 1995 2819 3990 5638 8457 14095 16914 19733 28190 39466 42285 53561 59199 84570 98665 107122 118273 118398 160683 197330 236546 267805 295995 321366 354819 374927 535610 591365 591990 709638 749854 803415 827911 1124781 1182730 1606830 1655822 1774095 1874635 2247187 2249562 2483733 3548190 3749270 4139555 4494374 4967466 5623905 6741561 8279110 11235935 11247810 12418665 13483122 15730309 22471870 24837330 31460618 33707805 47190927 67415610 78651545 94381854 157303090 235954635 333411587 471909270 666823174 1000234761 1667057935 2000469522 2333881109 3334115870 4667762218 5001173805 6334820153 7001643327 10002347610 11669405545 12669640306 14003286654 19004460459 23338811090 31674100765 35008216635 38008920918 44343741071 63348201530 70016433270 88687482142 95022302295 133031223213 190044604590 221718705355 266062446426 443437410710 665156116065 1330312232130