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430344201142100 = 225271884313262613
BaseRepresentation
bin110000111011001010101000…
…1001111010111111101010100
32002102201111121022010120102002
41201312111101033113331110
5422401224410443021400
64123133221411134432
7156434225323633550
oct14166252117277524
92072644538116362
10430344201142100
11115136a50549253
124032370a2a4418
131561839005694b
14783aab0256860
1534b4390d05ed5
hex18765513d7f54

430344201142100 has 72 divisors (see below), whose sum is σ = 1067259609846528. Its totient is φ = 147545754998400.

The previous prime is 430344201142087. The next prime is 430344201142133. The reversal of 430344201142100 is 1241102443034.

It is a super-2 number, since 2×4303442011421002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 130270394 + ... + 133533006.

Almost surely, 2430344201142100 is an apocalyptic number.

It is an amenable number.

430344201142100 is an abundant number, since it is smaller than the sum of its proper divisors (636915408704428).

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

430344201142100 is a wasteful number, since it uses less digits than its factorization.

430344201142100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3451065 (or 3451058 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 430344201142100 its reverse (1241102443034), we get a palindrome (431585303585134).

The spelling of 430344201142100 in words is "four hundred thirty trillion, three hundred forty-four billion, two hundred one million, one hundred forty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 700 188431 376862 753724 942155 1319017 1884310 2638034 3262613 3768620 4710775 5276068 6525226 6595085 9421550 13050452 13190170 16313065 18843100 22838291 26380340 32626130 32975425 45676582 65252260 65950850 81565325 91353164 114191455 131901700 163130650 228382910 326261300 456765820 570957275 1141914550 2283829100 614777430203 1229554860406 2459109720812 3073887151015 4303442011421 6147774302030 8606884022842 12295548604060 15369435755075 17213768045684 21517210057105 30738871510150 43034420114210 61477743020300 86068840228420 107586050285525 215172100571050 430344201142100