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12132440430 = 2351123269499
BaseRepresentation
bin10110100110010011…
…00101100101101110
31011022112022211110120
423103021211211232
5144321401043210
65323520145410
7606440020305
oct132311454556
934275284416
1012132440430
1151664a0080
122427168266
1311b4726046
1483145543c
154b01d2270
hex2d326596e

12132440430 has 96 divisors (see below), whose sum is σ = 33206544000. Its totient is φ = 2813279040.

The previous prime is 12132440417. The next prime is 12132440447. The reversal of 12132440430 is 3404423121.

It is a super-2 number, since 2×121324404302 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12132440430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 139821 + ... + 209319.

It is an arithmetic number, because the mean of its divisors is an integer number (345901500).

Almost surely, 212132440430 is an apocalyptic number.

12132440430 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 12132440430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16603272000).

12132440430 is an abundant number, since it is smaller than the sum of its proper divisors (21074103570).

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

12132440430 is a wasteful number, since it uses less digits than its factorization.

12132440430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69566 (or 69543 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 12132440430 its reverse (3404423121), we get a palindrome (15536863551).

The spelling of 12132440430 in words is "twelve billion, one hundred thirty-two million, four hundred forty thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 66 69 110 115 138 165 230 253 330 345 506 529 690 759 1058 1265 1518 1587 2530 2645 3174 3795 5290 5819 7590 7935 11638 15870 17457 29095 34914 58190 69499 87285 138998 174570 208497 347495 416994 694990 764489 1042485 1528978 1598477 2084970 2293467 3196954 3822445 4586934 4795431 7644890 7992385 9590862 11467335 15984770 17583247 22934670 23977155 35166494 36764971 47954310 52749741 73529942 87916235 105499482 110294913 175832470 183824855 220589826 263748705 367649710 404414681 527497410 551474565 808829362 1102949130 1213244043 2022073405 2426488086 4044146810 6066220215 12132440430