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100431332330 = 2571092292251
BaseRepresentation
bin101110110001000101…
…1001000001111101010
3100121020020021021222012
41131202023020033222
53121140410113310
6114045411555522
710153532145110
oct1354213101752
9317206237865
10100431332330
11396579614aa
121756a2bbba2
139616ca1584
144c0a45dab0
15292c03bc05
hex17622c83ea

100431332330 has 96 divisors (see below), whose sum is σ = 210245777280. Its totient is φ = 33833376000.

The previous prime is 100431332329. The next prime is 100431332333. The reversal of 100431332330 is 33233134001.

It is a junction number, because it is equal to n+sod(n) for n = 100431332296 and 100431332305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100431332333) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400124705 + ... + 400124955.

It is an arithmetic number, because the mean of its divisors is an integer number (2190060180).

Almost surely, 2100431332330 is an apocalyptic number.

100431332330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100431332330 is an abundant number, since it is smaller than the sum of its proper divisors (109814444950).

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

100431332330 is a wasteful number, since it uses less digits than its factorization.

100431332330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 832 (or 603 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 23.

Adding to 100431332330 its reverse (33233134001), we get a palindrome (133664466331).

The spelling of 100431332330 in words is "one hundred billion, four hundred thirty-one million, three hundred thirty-two thousand, three hundred thirty".

Divisors: 1 2 5 7 10 14 35 70 109 218 229 251 458 502 545 763 1090 1145 1255 1526 1603 1757 2290 2510 3206 3514 3815 7630 8015 8785 16030 17570 24961 27359 49922 52441 54718 57479 104882 114958 124805 136795 174727 191513 249610 262205 273590 287395 349454 367087 383026 402353 524410 574790 734174 804706 873635 957565 1747270 1835435 1915130 2011765 3670870 4023530 5716069 6265211 11432138 12530422 13162691 26325382 28580345 31326055 40012483 43856477 57160690 62652110 65813455 80024966 87712954 92138837 131626910 184277674 200062415 219282385 400124830 438564770 460694185 921388370 1434733319 2869466638 7173666595 10043133233 14347333190 20086266466 50215666165 100431332330