Search a number
-
+
1331024003430 = 2351161190734673
BaseRepresentation
bin10011010111100111001…
…101101000000101100110
311201020121100111010020020
4103113213031220011212
5133301414121102210
62455244115420010
7165110005233102
oct23274715500546
94636540433206
101331024003430
11473536394150
12195b652b4606
1398690682114
14485c99cc902
15249528c2770
hex135e7368166

1331024003430 has 128 divisors (see below), whose sum is σ = 3543951315456. Its totient is φ = 317207193600.

The previous prime is 1331024003429. The next prime is 1331024003467. The reversal of 1331024003430 is 343004201331.

It is a self number, because there is not a number n which added to its sum of digits gives 1331024003430.

It is a congruent number.

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, 38370574 + ... + 38405246.

It is an arithmetic number, because the mean of its divisors is an integer number (27687119652).

Almost surely, 21331024003430 is an apocalyptic number.

1331024003430 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 1331024003430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1771975657728).

1331024003430 is an abundant number, since it is smaller than the sum of its proper divisors (2212927312026).

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

1331024003430 is a wasteful number, since it uses less digits than its factorization.

1331024003430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36662.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 1331024003430 its reverse (343004201331), we get a palindrome (1674028204761).

The spelling of 1331024003430 in words is "one trillion, three hundred thirty-one billion, twenty-four million, three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 61 66 110 122 165 183 305 330 366 610 671 915 1342 1830 1907 2013 3355 3814 4026 5721 6710 9535 10065 11442 19070 20130 20977 28605 34673 41954 57210 62931 69346 104019 104885 116327 125862 173365 208038 209770 232654 314655 346730 348981 381403 520095 581635 629310 697962 762806 1040190 1144209 1163270 1279597 1744905 1907015 2115053 2288418 2559194 3489810 3814030 3838791 4230106 5721045 6345159 6397985 7677582 10575265 11442090 12690318 12795970 19193955 21150530 23265583 31725795 38387910 46531166 63451590 66121411 69796749 116327915 132242822 139593498 198364233 232655830 330607055 348983745 396728466 661214110 697967490 727335521 991821165 1454671042 1983642330 2182006563 3636677605 4033406071 4364013126 7273355210 8066812142 10910032815 12100218213 20167030355 21820065630 24200436426 40334060710 44367466781 60501091065 88734933562 121002182130 133102400343 221837333905 266204800686 443674667810 665512001715 1331024003430