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100555431414 = 233159193197241
BaseRepresentation
bin101110110100110010…
…0100001110111110110
3100121112212210011220120
41131221210201313312
53121414142301124
6114110003512410
710156600031034
oct1355144416766
9317485704816
10100555431414
1139710a12a29
12175a3988706
139636902199
144c1cb25554
152937da1d79
hex1769921df6

100555431414 has 128 divisors (see below), whose sum is σ = 214173020160. Its totient is φ = 31430246400.

The previous prime is 100555431373. The next prime is 100555431437. The reversal of 100555431414 is 414134555001.

It is a super-2 number, since 2×1005554314142 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 417242334 + ... + 417242574.

It is an arithmetic number, because the mean of its divisors is an integer number (1673226720).

Almost surely, 2100555431414 is an apocalyptic number.

100555431414 is an abundant number, since it is smaller than the sum of its proper divisors (113617588746).

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

100555431414 is a wasteful number, since it uses less digits than its factorization.

100555431414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726.

The product of its (nonzero) digits is 24000, while the sum is 33.

Adding to 100555431414 its reverse (414134555001), we get a palindrome (514689986415).

The spelling of 100555431414 in words is "one hundred billion, five hundred fifty-five million, four hundred thirty-one thousand, four hundred fourteen".

Divisors: 1 2 3 6 31 59 62 93 118 177 186 193 197 241 354 386 394 482 579 591 723 1158 1182 1446 1829 3658 5487 5983 6107 7471 10974 11387 11623 11966 12214 14219 14942 17949 18321 22413 22774 23246 28438 34161 34869 35898 36642 38021 42657 44826 46513 47477 68322 69738 76042 85314 93026 94954 114063 139539 142431 228126 279078 284862 352997 360313 440789 705994 720626 881578 1058991 1080939 1178651 1322367 1441903 1471787 2117982 2161878 2243239 2357302 2644734 2744267 2801143 2883806 2943574 3535953 4325709 4415361 4486478 5488534 5602286 6729717 7071906 8232801 8403429 8651418 8830722 9163061 13459434 16465602 16806858 18326122 27489183 54978366 69540409 85072277 86835433 139080818 170144554 173670866 208621227 255216831 260506299 284054891 417242454 510433662 521012598 540620599 568109782 852164673 1081241198 1621861797 1704329346 3243723594 16759238569 33518477138 50277715707 100555431414