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31023123133230 = 2335533389639697
BaseRepresentation
bin1110000110111001000100…
…01110111111001100101110
311001211210002210101001121000
413003130202032333030232
513031240324010230410
6145551454230421130
76351226624465644
oct703344216771456
9131753083331530
1031023123133230
119980918268208
1235905a52017a6
13144061114a037
147937547b5194
1538beb1573dc0
hex1c37223bf32e

31023123133230 has 128 divisors (see below), whose sum is σ = 84314243433600. Its totient is φ = 8114333939712.

The previous prime is 31023123133217. The next prime is 31023123133237. The reversal of 31023123133230 is 3233132132013.

31023123133230 is a `hidden beast` number, since 3 + 1 + 0 + 2 + 312 + 313 + 3 + 2 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31023123133194 and 31023123133203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31023123133237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48176742 + ... + 48816438.

It is an arithmetic number, because the mean of its divisors is an integer number (658705026825).

Almost surely, 231023123133230 is an apocalyptic number.

31023123133230 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31023123133230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42157121716800).

31023123133230 is an abundant number, since it is smaller than the sum of its proper divisors (53291120300370).

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

31023123133230 is a wasteful number, since it uses less digits than its factorization.

31023123133230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 643155 (or 643149 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 31023123133230 its reverse (3233132132013), we get a palindrome (34256255265243).

The spelling of 31023123133230 in words is "thirty-one trillion, twenty-three billion, one hundred twenty-three million, one hundred thirty-three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 90 106 135 159 265 270 318 477 530 795 954 1431 1590 2385 2862 3389 4770 6778 7155 10167 14310 16945 20334 30501 33890 50835 61002 91503 101670 152505 179617 183006 305010 359234 457515 538851 639697 898085 915030 1077702 1279394 1616553 1796170 1919091 2694255 3198485 3233106 3838182 4849659 5388510 5757273 6396970 8082765 9595455 9699318 11514546 16165530 17271819 19190910 24248295 28786365 33903941 34543638 48496590 57572730 67807882 86359095 101711823 169519705 172718190 203423646 305135469 339039410 508559115 610270938 915406407 1017118230 1525677345 1830812814 2167933133 3051354690 4335866266 4577032035 6503799399 9154064070 10839665665 13007598798 19511398197 21679331330 32518996995 39022796394 58534194591 65037993990 97556990985 114900456049 117068389182 195113981970 229800912098 292670972955 344701368147 574502280245 585341945910 689402736294 1034104104441 1149004560490 1723506840735 2068208208882 3102312313323 3447013681470 5170520522205 6204624626646 10341041044410 15511561566615 31023123133230