Search a number
-
+
30842366100 = 223527131129757
BaseRepresentation
bin11100101110010110…
…010010100010010100
32221121110100112102120
4130232112102202110
51001131121203400
622100242535540
72141205533460
oct345626224224
987543315376
1030842366100
1112097791167
125b890675b0
132ba6a5c790
1416c82814a0
15c07a6dca0
hex72e592894

30842366100 has 144 divisors (see below), whose sum is σ = 109830553728. Its totient is φ = 6507394560.

The previous prime is 30842366069. The next prime is 30842366119. The reversal of 30842366100 is 166324803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 537579 + ... + 592178.

Almost surely, 230842366100 is an apocalyptic number.

30842366100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30842366100 is an abundant number, since it is smaller than the sum of its proper divisors (78988187628).

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

30842366100 is a wasteful number, since it uses less digits than its factorization.

30842366100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1129794 (or 1129787 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 33.

The spelling of 30842366100 in words is "thirty billion, eight hundred forty-two million, three hundred sixty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 25 26 28 30 35 39 42 50 52 60 65 70 75 78 84 91 100 105 130 140 150 156 175 182 195 210 260 273 300 325 350 364 390 420 455 525 546 650 700 780 910 975 1050 1092 1300 1365 1820 1950 2100 2275 2730 3900 4550 5460 6825 9100 13650 27300 1129757 2259514 3389271 4519028 5648785 6778542 7908299 11297570 13557084 14686841 15816598 16946355 22595140 23724897 28243925 29373682 31633196 33892710 39541495 44060523 47449794 56487850 58747364 67785420 73434205 79082990 84731775 88121046 94899588 102807887 112975700 118624485 146868410 158165980 169463550 176242092 197707475 205615774 220302615 237248970 293736820 308423661 338927100 367171025 395414950 411231548 440605230 474497940 514039435 593122425 616847322 734342050 790829900 881210460 1028078870 1101513075 1186244850 1233694644 1468684100 1542118305 2056157740 2203026150 2372489700 2570197175 3084236610 4406052300 5140394350 6168473220 7710591525 10280788700 15421183050 30842366100