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12303112011330 = 2357293037665201
BaseRepresentation
bin1011001100001000101010…
…0111101111111001000010
31121120011111000210200112110
42303002022213233321002
53103033233133330310
642055545512240150
72406604404420240
oct263021247577102
947504430720473
1012303112011330
113a137a1a97298
1214685133a0056
136b32421906ca
1430768c163790
151650738ebd20
hexb308a9efe42

12303112011330 has 128 divisors (see below), whose sum is σ = 34920869921280. Its totient is φ = 2714271436800.

The previous prime is 12303112011319. The next prime is 12303112011347. The reversal of 12303112011330 is 3311021130321.

It is a happy number.

12303112011330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 12303112011297 and 12303112011306.

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, 18162730 + ... + 18827930.

It is an arithmetic number, because the mean of its divisors is an integer number (272819296260).

Almost surely, 212303112011330 is an apocalyptic number.

12303112011330 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 12303112011330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17460434960640).

12303112011330 is an abundant number, since it is smaller than the sum of its proper divisors (22617757909950).

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

12303112011330 is a wasteful number, since it uses less digits than its factorization.

12303112011330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668284.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 12303112011330 its reverse (3311021130321), we get a palindrome (15614133141651).

The spelling of 12303112011330 in words is "twelve trillion, three hundred three billion, one hundred twelve million, eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 29 30 35 42 58 70 87 105 145 174 203 210 290 406 435 609 870 1015 1218 2030 3037 3045 6074 6090 9111 15185 18222 21259 30370 42518 45555 63777 88073 91110 106295 127554 176146 212590 264219 318885 440365 528438 616511 637770 665201 880730 1233022 1321095 1330402 1849533 1995603 2642190 3082555 3326005 3699066 3991206 4656407 6165110 6652010 9247665 9312814 9978015 13969221 18495330 19290829 19956030 23282035 27938442 38581658 46564070 57872487 69846105 96454145 115744974 135035803 139692210 192908290 270071606 289362435 405107409 578724870 675179015 810214818 1350358030 2020215437 2025537045 4040430874 4051074090 6060646311 10101077185 12121292622 14141508059 20202154370 28283016118 30303231555 42424524177 58586247673 60606463110 70707540295 84849048354 117172495346 141415080590 175758743019 212122620885 292931238365 351517486038 410103733711 424245241770 585862476730 820207467422 878793715095 1230311201133 1757587430190 2050518668555 2460622402266 4101037337110 6151556005665 12303112011330