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231211432122 = 2311213914915377
BaseRepresentation
bin1101011101010101000…
…1100111100010111010
3211002210112002201022220
43113111101213202322
512242010111311442
6254114515224510
722463430513636
oct3272521474272
9732715081286
10231211432122
118a06890a100
12389882a8136
1318a5967c0c8
14b295393dc6
1560335e5eec
hex35d54678ba

231211432122 has 96 divisors (see below), whose sum is σ = 515409048000. Its totient is φ = 69088673280.

The previous prime is 231211432097. The next prime is 231211432163. The reversal of 231211432122 is 221234112132.

It is a junction number, because it is equal to n+sod(n) for n = 231211432092 and 231211432101.

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, 15028498 + ... + 15043874.

It is an arithmetic number, because the mean of its divisors is an integer number (5368844250).

Almost surely, 2231211432122 is an apocalyptic number.

231211432122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 231211432122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257704524000).

231211432122 is an abundant number, since it is smaller than the sum of its proper divisors (284197615878).

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

231211432122 is a wasteful number, since it uses less digits than its factorization.

231211432122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15692 (or 15681 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 231211432122 its reverse (221234112132), we get a palindrome (452445544254).

The spelling of 231211432122 in words is "two hundred thirty-one billion, two hundred eleven million, four hundred thirty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 121 139 149 242 278 298 363 417 447 726 834 894 1529 1639 3058 3278 4587 4917 9174 9834 15377 16819 18029 20711 30754 33638 36058 41422 46131 50457 54087 62133 92262 100914 108174 124266 169147 227821 338294 455642 507441 683463 1014882 1366926 1860617 2137403 2291173 2506031 3721234 4274806 4582346 5012062 5581851 6412209 6873519 7518093 11163702 12824418 13747038 15036186 23511433 25202903 47022866 50405806 70534299 75608709 141068598 151217418 258625763 277231933 318473047 517251526 554463866 636946094 775877289 831695799 955419141 1551754578 1663391598 1910838282 3503203517 7006407034 10509610551 21019221102 38535238687 77070477374 115605716061 231211432122