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230031122103132 = 22374497098602303
BaseRepresentation
bin110100010011011001001011…
…010100011111101101011100
31010011110202112102001110112220
4310103121023110133231130
5220122312214224300012
62133122501051225340
766311125434354420
oct6423311324375534
91104422472043486
10230031122103132
116732771858a099
12219716a5448250
139b47ac33b266c
1440b37cc46cb80
151b8d98624208c
hexd1364b51fb5c

230031122103132 has 96 divisors (see below), whose sum is σ = 615649692672000. Its totient is φ = 65484301381632.

The previous prime is 230031122103131. The next prime is 230031122103163. The reversal of 230031122103132 is 231301221130032.

It is a super-3 number, since 3×2300311221031323 (a number of 44 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230031122103131) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22439493 + ... + 31041795.

It is an arithmetic number, because the mean of its divisors is an integer number (6413017632000).

Almost surely, 2230031122103132 is an apocalyptic number.

It is an amenable number.

230031122103132 is an abundant number, since it is smaller than the sum of its proper divisors (385618570568868).

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

230031122103132 is a wasteful number, since it uses less digits than its factorization.

230031122103132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8603475 (or 8603473 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 230031122103132 its reverse (231301221130032), we get a palindrome (461332343233164).

The spelling of 230031122103132 in words is "two hundred thirty trillion, thirty-one billion, one hundred twenty-two million, one hundred three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 449 709 898 1347 1418 1796 2127 2694 2836 3143 4254 4963 5388 6286 8508 9429 9926 12572 14889 18858 19852 29778 37716 59556 318341 636682 955023 1273364 1910046 2228387 3820092 4456774 6685161 8602303 8913548 13370322 17204606 25806909 26740644 34409212 51613818 60216121 103227636 120432242 180648363 240864484 361296726 722593452 3862434047 6099032827 7724868094 11587302141 12198065654 15449736188 18297098481 23174604282 24396131308 27037038329 36594196962 42693229789 46349208564 54074076658 73188393924 81111114987 85386459578 108148153316 128079689367 162222229974 170772919156 256159378734 324444459948 512318757468 2738465739323 5476931478646 8215397217969 10953862957292 16430794435938 19169260175261 32861588871876 38338520350522 57507780525783 76677040701044 115015561051566 230031122103132