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100440412310 = 2571919921907
BaseRepresentation
bin101110110001010110…
…1110001000010010110
3100121020212100121100202
41131202231301002112
53121200221143220
6114050334340502
710154002263260
oct1354255610226
9317225317322
10100440412310
1139661aa3417
121757135a732
139618b30444
144c0b744b30
15292cc32275
hex1762b71096

100440412310 has 96 divisors (see below), whose sum is σ = 218708087040. Its totient is φ = 32443291584.

The previous prime is 100440412309. The next prime is 100440412313. The reversal of 100440412310 is 13214044001.

It is a super-2 number, since 2×1004404123102 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100440412313) 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, 52668377 + ... + 52670283.

It is an arithmetic number, because the mean of its divisors is an integer number (2278209240).

Almost surely, 2100440412310 is an apocalyptic number.

100440412310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100440412310 is an abundant number, since it is smaller than the sum of its proper divisors (118267674730).

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

100440412310 is a wasteful number, since it uses less digits than its factorization.

100440412310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2338 (or 2139 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 100440412310 its reverse (13214044001), we get a palindrome (113654456311).

The spelling of 100440412310 in words is "one hundred billion, four hundred forty million, four hundred twelve thousand, three hundred ten".

Divisors: 1 2 5 7 10 14 19 35 38 70 95 133 190 199 266 398 665 995 1330 1393 1907 1990 2786 3781 3814 6965 7562 9535 13349 13930 18905 19070 26467 26698 36233 37810 39601 52934 66745 72466 79202 132335 133490 181165 198005 253631 264670 277207 362330 379493 396010 507262 554414 752419 758986 1268155 1386035 1504838 1897465 2536310 2656451 2772070 3762095 3794930 5266933 5312902 7210367 7524190 10533866 13282255 14420734 26334665 26564510 36051835 50472569 52669330 72103670 75519107 100945138 151038214 252362845 377595535 504725690 528633749 755191070 1057267498 1434863033 2643168745 2869726066 5286337490 7174315165 10044041231 14348630330 20088082462 50220206155 100440412310