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103312120230030 = 23543711473776541
BaseRepresentation
bin10111011111011000111010…
…001110100011000010001110
3111112210112122021212022102110
4113133120322032203002032
5102020131210234330110
61003420533254004450
730522024435445425
oct2737307216430216
9445715567768373
10103312120230030
112aa1147358a388
12b7066b8046726
1345853a2813a9a
141b724948042bc
15be25ba791a20
hex5df63a3a308e

103312120230030 has 128 divisors (see below), whose sum is σ = 257309622383616. Its totient is φ = 26528053708800.

The previous prime is 103312120230019. The next prime is 103312120230041. The reversal of 103312120230030 is 30032021213301.

It is an interprime number because it is at equal distance from previous prime (103312120230019) and next prime (103312120230041).

It is a super-2 number, since 2×1033121202300302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103312120229979 and 103312120230006.

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, 1349723560 + ... + 1349800100.

It is an arithmetic number, because the mean of its divisors is an integer number (2010231424872).

Almost surely, 2103312120230030 is an apocalyptic number.

103312120230030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 103312120230030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128654811191808).

103312120230030 is an abundant number, since it is smaller than the sum of its proper divisors (153997502153586).

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

103312120230030 is a wasteful number, since it uses less digits than its factorization.

103312120230030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91402.

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 103312120230030 its reverse (30032021213301), we get a palindrome (133344141443331).

The spelling of 103312120230030 in words is "one hundred three trillion, three hundred twelve billion, one hundred twenty million, two hundred thirty thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 43 71 86 129 142 213 215 258 355 426 430 645 710 1065 1290 2130 3053 6106 9159 14737 15265 18318 29474 30530 44211 45795 73685 76541 88422 91590 147370 153082 221055 229623 382705 442110 459246 633691 765410 1046327 1148115 1267382 1901073 2092654 2296230 3138981 3168455 3291263 3802146 5231635 5434411 6277962 6336910 6582526 9505365 9873789 10463270 10868822 15694905 16303233 16456315 19010730 19747578 27172055 31389810 32606466 32912630 44992061 49368945 54344110 81516165 89984122 98737890 134976183 163032330 224960305 233679673 269952366 449920610 467359346 674880915 701039019 1127984717 1168398365 1349761830 1402078038 2255969434 2336796730 3383954151 3505195095 5639923585 6767908302 7010390190 11279847170 16919770755 33839541510 48503342831 80086914907 97006685662 145510028493 160173829814 240260744721 242516714155 291020056986 400434574535 480521489442 485033428310 727550142465 800869149070 1201303723605 1455100284930 2402607447210 3443737341001 6887474682002 10331212023003 17218686705005 20662424046006 34437373410010 51656060115015 103312120230030