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10001143432 = 2372831492063
BaseRepresentation
bin10010101000001110…
…10101011010001000
3221210222220201121201
421110013111122020
5130440243042212
64332223113544
7502560213400
oct112407253210
927728821551
1010001143432
1142724260a5
121b314428b4
13c34ccaa67
146ac37d800
153d8036b57
hex2541d5688

10001143432 has 96 divisors (see below), whose sum is σ = 22235472000. Its totient is φ = 4204104576.

The previous prime is 10001143423. The next prime is 10001143463. The reversal of 10001143432 is 23434110001.

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, 4846833 + ... + 4848895.

It is an arithmetic number, because the mean of its divisors is an integer number (231619500).

Almost surely, 210001143432 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 10001143432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11117736000).

10001143432 is an abundant number, since it is smaller than the sum of its proper divisors (12234328568).

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

10001143432 is a wasteful number, since it uses less digits than its factorization.

10001143432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2304 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 10001143432 its reverse (23434110001), we get a palindrome (33435253433).

The spelling of 10001143432 in words is "ten billion, one million, one hundred forty-three thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 49 56 83 98 149 166 196 298 332 392 581 596 664 1043 1162 1192 2063 2086 2324 4067 4126 4172 4648 7301 8134 8252 8344 12367 14441 14602 16268 16504 24734 28882 29204 32536 49468 57764 58408 86569 98936 101087 115528 171229 173138 202174 307387 342458 346276 404348 605983 614774 684916 692552 808696 1198603 1211966 1229548 1369832 2151709 2397206 2423932 2459096 4303418 4794412 4847864 8390221 8606836 9588824 15061963 16780442 17213672 25513121 30123926 33560884 51026242 60247852 67121768 102052484 120495704 178591847 204104968 357183694 714367388 1250142929 1428734776 2500285858 5000571716 10001143432