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133423214120 = 23571788731601
BaseRepresentation
bin111110001000010100…
…1001010111000101000
3110202101111022112120222
41330100221022320220
54141222320322440
6141143242305212
712432231415310
oct1742051127050
9422344275528
10133423214120
1151647a20609
1221a371b8208
13c774167a11
146659d9a440
15370d6542b5
hex1f10a4ae28

133423214120 has 128 divisors (see below), whose sum is σ = 363690984960. Its totient is φ = 43004313600.

The previous prime is 133423214087. The next prime is 133423214143. The reversal of 133423214120 is 21412324331.

It is a super-2 number, since 2×1334232141202 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 133423214120.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4206320 + ... + 4237920.

It is an arithmetic number, because the mean of its divisors is an integer number (2841335820).

Almost surely, 2133423214120 is an apocalyptic number.

133423214120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133423214120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181845492480).

133423214120 is an abundant number, since it is smaller than the sum of its proper divisors (230267770840).

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

133423214120 is a wasteful number, since it uses less digits than its factorization.

133423214120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32523 (or 32519 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 133423214120 its reverse (21412324331), we get a palindrome (154835538451).

The spelling of 133423214120 in words is "one hundred thirty-three billion, four hundred twenty-three million, two hundred fourteen thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 17 20 28 34 35 40 56 68 70 85 119 136 140 170 238 280 340 476 595 680 887 952 1190 1774 2380 3548 4435 4760 6209 7096 8870 12418 15079 17740 24836 30158 31045 31601 35480 49672 60316 62090 63202 75395 105553 120632 124180 126404 150790 158005 211106 221207 248360 252808 301580 316010 422212 442414 527765 537217 603160 632020 844424 884828 1055530 1074434 1106035 1264040 1769656 2111060 2148868 2212070 2686085 3760519 4222120 4297736 4424140 5372170 7521038 8848280 10744340 15042076 18802595 21488680 28030087 30084152 37605190 56060174 75210380 112120348 140150435 150420760 196210609 224240696 280300870 392421218 476511479 560601740 784842436 953022958 981053045 1121203480 1569684872 1906045916 1962106090 2382557395 3335580353 3812091832 3924212180 4765114790 6671160706 7848424360 9530229580 13342321412 16677901765 19060459160 26684642824 33355803530 66711607060 133423214120