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23312146026 = 23131967383613
BaseRepresentation
bin10101101101100000…
…110001111001101010
32020011122220201102210
4111231200301321222
5340220402133101
614413124105550
71453460654211
oct255540617152
966148821383
1023312146026
11998310a394
1246272352b6
132276950560
1411b2144078
1591691c7d6
hex56d831e6a

23312146026 has 128 divisors (see below), whose sum is σ = 53870100480. Its totient is φ = 6665649408.

The previous prime is 23312145973. The next prime is 23312146043. The reversal of 23312146026 is 62064121332.

It is a junction number, because it is equal to n+sod(n) for n = 23312145984 and 23312146002.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38029296 + ... + 38029908.

It is an arithmetic number, because the mean of its divisors is an integer number (420860160).

Almost surely, 223312146026 is an apocalyptic number.

23312146026 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23312146026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26935050240).

23312146026 is an abundant number, since it is smaller than the sum of its proper divisors (30557954454).

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

23312146026 is a wasteful number, since it uses less digits than its factorization.

23312146026 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1100.

The product of its (nonzero) digits is 10368, while the sum is 30.

Adding to 23312146026 its reverse (62064121332), we get a palindrome (85376267358).

The spelling of 23312146026 in words is "twenty-three billion, three hundred twelve million, one hundred forty-six thousand, twenty-six".

Divisors: 1 2 3 6 13 19 26 38 39 57 67 78 114 134 201 247 383 402 494 613 741 766 871 1149 1226 1273 1482 1742 1839 2298 2546 2613 3678 3819 4979 5226 7277 7638 7969 9958 11647 14554 14937 15938 16549 21831 23294 23907 25661 29874 33098 34941 41071 43662 47814 49647 51322 69882 76983 82142 94601 99294 123213 151411 153966 189202 234779 246426 283803 302822 333593 454233 469558 487559 533923 567606 667186 704337 780349 908466 975118 1000779 1067846 1408674 1462677 1560698 1601769 2001558 2341047 2925354 3052127 3203538 4460801 4682094 6104254 6338267 8921602 9156381 10144537 12676534 13382403 15730193 18312762 19014801 20289074 26764806 30433611 31460386 38029602 47190579 57990413 60867222 94381158 115980826 173971239 204492509 298873667 347942478 408985018 597747334 613477527 896621001 1226955054 1793242002 3885357671 7770715342 11656073013 23312146026