Search a number
-
+
10301112120 = 23351323287099
BaseRepresentation
bin10011001011111111…
…00111111100111000
3222120220100201022010
421211333213330320
5132044041041440
64422100325520
7513162002565
oct114577477470
928526321263
1010301112120
114406789002
121bb59a38a0
13c821b7520
146da14586c
1540453b580
hex265fe7f38

10301112120 has 128 divisors (see below), whose sum is σ = 34727616000. Its totient is φ = 2425403904.

The previous prime is 10301112083. The next prime is 10301112149. The reversal of 10301112120 is 2121110301.

It is a super-2 number, since 2×103011121202 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10301112096 and 10301112105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 107670 + ... + 179429.

It is an arithmetic number, because the mean of its divisors is an integer number (271309500).

Almost surely, 210301112120 is an apocalyptic number.

10301112120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10301112120 is an abundant number, since it is smaller than the sum of its proper divisors (24426503880).

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

10301112120 is a wasteful number, since it uses less digits than its factorization.

10301112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287149 (or 287145 counting only the distinct ones).

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

Adding to 10301112120 its reverse (2121110301), we get a palindrome (12422222421).

The spelling of 10301112120 in words is "ten billion, three hundred one million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 23 24 26 30 39 40 46 52 60 65 69 78 92 104 115 120 130 138 156 184 195 230 260 276 299 312 345 390 460 520 552 598 690 780 897 920 1196 1380 1495 1560 1794 2392 2760 2990 3588 4485 5980 7176 8970 11960 17940 35880 287099 574198 861297 1148396 1435495 1722594 2296792 2870990 3445188 3732287 4306485 5741980 6603277 6890376 7464574 8612970 11196861 11483960 13206554 14929148 17225940 18661435 19809831 22393722 26413108 29858296 33016385 34451880 37322870 39619662 44787444 52826216 55984305 66032770 74645740 79239324 85842601 89574888 99049155 111968610 132065540 149291480 158478648 171685202 198098310 223937220 257527803 264131080 343370404 396196620 429213005 447874440 515055606 686740808 792393240 858426010 1030111212 1287639015 1716852020 2060222424 2575278030 3433704040 5150556060 10301112120