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43430434100 = 225210312973251
BaseRepresentation
bin101000011100101001…
…111101010100110100
311011002202000122102022
4220130221331110310
51202421142342400
631541320532312
73065150412254
oct503451752464
9134082018368
1043430434100
1117467390a49
128500921098
1341319a2b21
14216001b964
1511e2c51b85
hexa1ca7d534

43430434100 has 72 divisors (see below), whose sum is σ = 95261694528. Its totient is φ = 17184960000.

The previous prime is 43430434097. The next prime is 43430434111. The reversal of 43430434100 is 143403434.

43430434100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×434304341002 (a number of 22 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 43430434100.

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, 13357475 + ... + 13360725.

Almost surely, 243430434100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 43430434100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47630847264).

43430434100 is an abundant number, since it is smaller than the sum of its proper divisors (51831260428).

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

43430434100 is a wasteful number, since it uses less digits than its factorization.

43430434100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4665 (or 4658 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 26.

Adding to 43430434100 its reverse (143403434), we get a palindrome (43573837534).

The spelling of 43430434100 in words is "forty-three billion, four hundred thirty million, four hundred thirty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 206 412 515 1030 1297 2060 2575 2594 3251 5150 5188 6485 6502 10300 12970 13004 16255 25940 32425 32510 64850 65020 81275 129700 133591 162550 267182 325100 334853 534364 667955 669706 1335910 1339412 1674265 2671820 3339775 3348530 4216547 6679550 6697060 8371325 8433094 13359100 16742650 16866188 21082735 33485300 42165470 84330940 105413675 210827350 421654700 434304341 868608682 1737217364 2171521705 4343043410 8686086820 10857608525 21715217050 43430434100