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1223431010430 = 235735091097533
BaseRepresentation
bin10001110011011010001…
…010111011100001111110
311022221220000021202201120
4101303122022323201332
5130021041314313210
62334011512251410
7154250522001546
oct21633212734176
94287800252646
101223431010430
11431943a02022
121791386a0b66
138b4a4a55315
1443300370326
1521c56c87270
hex11cda2bb87e

1223431010430 has 64 divisors (see below), whose sum is σ = 2982307187520. Its totient is φ = 321146643456.

The previous prime is 1223431010419. The next prime is 1223431010441. The reversal of 1223431010430 is 340101343221.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1223431010419) and next prime (1223431010441).

It is a self number, because there is not a number n which added to its sum of digits gives 1223431010430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 565944 + ... + 1663476.

It is an arithmetic number, because the mean of its divisors is an integer number (46598549805).

Almost surely, 21223431010430 is an apocalyptic number.

1223431010430 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 1223431010430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1491153593760).

1223431010430 is an abundant number, since it is smaller than the sum of its proper divisors (1758876177090).

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

1223431010430 is a wasteful number, since it uses less digits than its factorization.

1223431010430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098125.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1223431010430 its reverse (340101343221), we get a palindrome (1563532353651).

The spelling of 1223431010430 in words is "one trillion, two hundred twenty-three billion, four hundred thirty-one million, ten thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 146 219 365 438 509 730 1018 1095 1527 2190 2545 3054 5090 7635 15270 37157 74314 111471 185785 222942 371570 557355 1097533 1114710 2195066 3292599 5487665 6585198 10975330 16462995 32925990 80119909 160239818 240359727 400599545 480719454 558644297 801199090 1117288594 1201798635 1675932891 2403597270 2793221485 3351865782 5586442970 8379664455 16759328910 40781033681 81562067362 122343101043 203905168405 244686202086 407810336810 611715505215 1223431010430