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100413012333430 = 251929131148993427
BaseRepresentation
bin10110110101001100111001…
…111011100101001101110110
3111011112101112110212221000201
4112311030321323211031312
5101130131322124132210
6553321033454231114
730102413024066356
oct2665147173451566
9434471473787021
10100413012333430
1129aa3a12778245
12b31886a7b549a
134404ba2583964
141ab2031230b66
15b91e8d75453a
hex5b5339ee5376

100413012333430 has 128 divisors (see below), whose sum is σ = 198454525632000. Its totient is φ = 36433808087040.

The previous prime is 100413012333409. The next prime is 100413012333509. The reversal of 100413012333430 is 34333210314001.

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, 1074728377 + ... + 1074821803.

It is an arithmetic number, because the mean of its divisors is an integer number (1550425981500).

Almost surely, 2100413012333430 is an apocalyptic number.

100413012333430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100413012333430 is a deficient number, since it is larger than the sum of its proper divisors (98041513298570).

100413012333430 is a wasteful number, since it uses less digits than its factorization.

100413012333430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95102.

The product of its (nonzero) digits is 7776, while the sum is 28.

Adding to 100413012333430 its reverse (34333210314001), we get a palindrome (134746222647431).

The spelling of 100413012333430 in words is "one hundred trillion, four hundred thirteen billion, twelve million, three hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 5 10 19 29 38 58 95 131 145 190 262 290 551 655 1102 1310 1489 2489 2755 2978 3799 4978 5510 7445 7598 12445 14890 18995 24890 28291 37990 43181 56582 72181 86362 93427 141455 144362 186854 195059 215905 282910 360905 390118 431810 467135 721810 820439 934270 975295 1640878 1775113 1950590 2709383 3550226 3706121 4102195 5418766 5656711 7412242 8204390 8875565 11313422 12238937 13546915 17751130 18530605 24477874 27093830 28283555 37061210 51478277 56567110 61194685 102956554 107477509 122389370 139112803 214955018 232539803 257391385 278225606 354929173 465079606 514782770 537387545 695564015 709858346 1074775090 1162699015 1391128030 1774645865 2325398030 2643143257 3549291730 4034271287 5286286514 6743654287 8068542574 13215716285 13487308574 18223777193 20171356435 26431432570 33718271435 36447554386 40342712870 67436542870 76651154453 91118885965 153302308906 182237771930 346251766667 383255772265 528489538597 692503533334 766511544530 1056979077194 1731258833335 2642447692985 3462517666670 5284895385970 10041301233343 20082602466686 50206506166715 100413012333430