Search a number
-
+
123010010132100 = 223527134505861177
BaseRepresentation
bin11011111110000001111111…
…111101010010111010000100
3121010112122100002212201010220
4123332001333331102322010
5112110344000043211400
61113342004000144340
734624115503152660
oct3376017775227204
9533478302781126
10123010010132100
1136216285945333
12119681b76080b0
135383a42a83a60
142253a055a58a0
15e34b8caa97a0
hex6fe07ff52e84

123010010132100 has 144 divisors (see below), whose sum is σ = 438041800280448. Its totient is φ = 25953760373760.

The previous prime is 123010010132027. The next prime is 123010010132117. The reversal of 123010010132100 is 1231010010321.

It is a happy number.

123010010132100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 123010010132100.

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, 2252903289 + ... + 2252957888.

It is an arithmetic number, because the mean of its divisors is an integer number (3041956946392).

Almost surely, 2123010010132100 is an apocalyptic number.

123010010132100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123010010132100 is an abundant number, since it is smaller than the sum of its proper divisors (315031790148348).

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

123010010132100 is a wasteful number, since it uses less digits than its factorization.

123010010132100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4505861214 (or 4505861207 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 123010010132100 its reverse (1231010010321), we get a palindrome (124241020142421).

The spelling of 123010010132100 in words is "one hundred twenty-three trillion, ten billion, ten million, one hundred thirty-two 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 4505861177 9011722354 13517583531 18023444708 22529305885 27035167062 31541028239 45058611770 54070334124 58576195301 63082056478 67587917655 90117223540 94623084717 112646529425 117152390602 126164112956 135175835310 157705141195 175728585903 189246169434 225293058850 234304781204 270351670620 292880976505 315410282390 337939588275 351457171806 378492338868 410033367107 450586117700 473115423585 585761953010 630820564780 675879176550 702914343612 788525705975 820066734214 878642929515 946230847170 1171523906020 1230100101321 1351758353100 1464404882525 1577051411950 1640133468428 1757285859030 1892461694340 2050166835535 2365577117925 2460200202642 2928809765050 3154102823900 3514571718060 4100333671070 4393214647575 4731154235850 4920400405284 5857619530100 6150500506605 8200667342140 8786429295150 9462308471700 10250834177675 12301001013210 17572858590300 20501668355350 24602002026420 30752502533025 41003336710700 61505005066050 123010010132100