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101424582490 = 2571132414517
BaseRepresentation
bin101111001110101100…
…0000100111101011010
3100200210110020122001011
41132131120010331122
53130204143114430
6114332132444134
710220252504140
oct1363530047532
9320713218034
10101424582490
113a017595000
12177a6a7964a
1397449b736a
144ca2331590
15298933822a
hex179d604f5a

101424582490 has 128 divisors (see below), whose sum is σ = 230496938496. Its totient is φ = 31474713600.

The previous prime is 101424582449. The next prime is 101424582491. The reversal of 101424582490 is 94285424101.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (101424582491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22451712 + ... + 22456228.

It is an arithmetic number, because the mean of its divisors is an integer number (1800757332).

Almost surely, 2101424582490 is an apocalyptic number.

101424582490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101424582490 is an abundant number, since it is smaller than the sum of its proper divisors (129072356006).

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

101424582490 is a wasteful number, since it uses less digits than its factorization.

101424582490 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4805 (or 4783 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 40.

The spelling of 101424582490 in words is "one hundred one billion, four hundred twenty-four million, five hundred eighty-two thousand, four hundred ninety".

Divisors: 1 2 5 7 10 11 14 22 35 55 70 77 110 121 154 241 242 385 482 605 770 847 1205 1210 1331 1687 1694 2410 2651 2662 3374 4235 4517 5302 6655 8435 8470 9034 9317 13255 13310 16870 18557 18634 22585 26510 29161 31619 37114 45170 46585 49687 58322 63238 92785 93170 99374 145805 158095 185570 204127 248435 291610 316190 320771 347809 408254 496870 546557 641542 695618 1020635 1088597 1093114 1603855 1739045 2041270 2177194 2245397 2732785 3207710 3478090 3825899 4490794 5442985 5465570 6012127 7620179 7651798 10885970 11226985 11974567 12024254 15240358 19129495 22453970 23949134 30060635 38100895 38258990 42084889 59872835 60121270 76201790 83821969 84169778 119745670 131720237 167643938 210424445 263440474 419109845 420848890 658601185 838219690 922041659 1317202370 1448922607 1844083318 2897845214 4610208295 7244613035 9220416590 10142458249 14489226070 20284916498 50712291245 101424582490