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230001131100 = 2235213173469097
BaseRepresentation
bin1101011000110100100…
…0101011111001011100
3210222200011201001110010
43112031020223321130
512232020242143400
6253354442243220
722421433233346
oct3261510537134
9728604631403
10230001131100
11895a7708024
12386aaab6510
13188c59bc060
14b1bc742296
155eb2223450
hex358d22be5c

230001131100 has 144 divisors (see below), whose sum is σ = 758816620128. Its totient is φ = 53285314560.

The previous prime is 230001131081. The next prime is 230001131153. The reversal of 230001131100 is 1131100032.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1668249 + ... + 1800848.

It is an arithmetic number, because the mean of its divisors is an integer number (5269559862).

Almost surely, 2230001131100 is an apocalyptic number.

230001131100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230001131100 is an abundant number, since it is smaller than the sum of its proper divisors (528815489028).

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

230001131100 is a wasteful number, since it uses less digits than its factorization.

230001131100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3469144 (or 3469137 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 230001131100 its reverse (1131100032), we get a palindrome (231132231132).

The spelling of 230001131100 in words is "two hundred thirty billion, one million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 25 26 30 34 39 50 51 52 60 65 68 75 78 85 100 102 130 150 156 170 195 204 221 255 260 300 325 340 390 425 442 510 650 663 780 850 884 975 1020 1105 1275 1300 1326 1700 1950 2210 2550 2652 3315 3900 4420 5100 5525 6630 11050 13260 16575 22100 33150 66300 3469097 6938194 10407291 13876388 17345485 20814582 34690970 41629164 45098261 52036455 58974649 69381940 86727425 90196522 104072910 117949298 135294783 173454850 176923947 180393044 208145820 225491305 235898596 260182275 270589566 294873245 346909700 353847894 450982610 520364550 541179132 589746490 676473915 707695788 766670437 884619735 901965220 1040729100 1127456525 1179492980 1352947830 1474366225 1533340874 1769239470 2254913050 2300011311 2705895660 2948732450 3066681748 3382369575 3538478940 3833352185 4423098675 4509826100 4600022622 5897464900 6764739150 7666704370 8846197350 9200045244 11500056555 13529478300 15333408740 17692394700 19166760925 23000113110 38333521850 46000226220 57500282775 76667043700 115000565550 230001131100