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231133022120 = 235711135772553
BaseRepresentation
bin1101011101000010011…
…0100000011110101000
3211002121001120002000202
43113100212200132220
512241330023201440
6254103034451332
722461456162230
oct3272046403650
9732531502022
10231133022120
118a028624550
1238965b93b48
1318a46357660
14b288bc2cc0
15602b7a8615
hex35d09a07a8

231133022120 has 128 divisors (see below), whose sum is σ = 698248131840. Its totient is φ = 66499799040.

The previous prime is 231133022111. The next prime is 231133022129. The reversal of 231133022120 is 21220331132.

It is an interprime number because it is at equal distance from previous prime (231133022111) and next prime (231133022129).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 231133022092 and 231133022101.

It is not an unprimeable number, because it can be changed into a prime (231133022129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2846237 + ... + 2926316.

It is an arithmetic number, because the mean of its divisors is an integer number (5455063530).

Almost surely, 2231133022120 is an apocalyptic number.

231133022120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

231133022120 is an abundant number, since it is smaller than the sum of its proper divisors (467115109720).

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

231133022120 is a wasteful number, since it uses less digits than its factorization.

231133022120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5772595 (or 5772591 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 231133022120 its reverse (21220331132), we get a palindrome (252353353252).

The spelling of 231133022120 in words is "two hundred thirty-one billion, one hundred thirty-three million, twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 13 14 20 22 26 28 35 40 44 52 55 56 65 70 77 88 91 104 110 130 140 143 154 182 220 260 280 286 308 364 385 440 455 520 572 616 715 728 770 910 1001 1144 1430 1540 1820 2002 2860 3080 3640 4004 5005 5720 8008 10010 20020 40040 5772553 11545106 23090212 28862765 40407871 46180424 57725530 63498083 75043189 80815742 115451060 126996166 150086378 161631484 202039355 230902120 253992332 300172756 317490415 323262968 375215945 404078710 444486581 507984664 525302323 600345512 634980830 750431890 808157420 825475079 888973162 1050604646 1269961660 1500863780 1616314840 1650950158 1777946324 2101209292 2222432905 2539923320 2626511615 3001727560 3301900316 3555892648 4127375395 4202418584 4444865810 5253023230 5778325553 6603800632 8254750790 8889731620 10506046460 11556651106 16509501580 17779463240 21012092920 23113302212 28891627765 33019003160 46226604424 57783255530 115566511060 231133022120