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133022233010232 = 233217213945991661
BaseRepresentation
bin11110001111101110100110…
…111100100010000000111000
3122102222210122010121111122100
4132033232212330202000320
5114413414013122311412
61150525323100023400
740006352640345426
oct3617564674420070
9572883563544570
10133022233010232
1139426459719625
1212b04724831b60
13592bc342ab537
1424bc44bb6c116
15105a330ae5edc
hex78fba6f22038

133022233010232 has 144 divisors (see below), whose sum is σ = 385460718388200. Its totient is φ = 41432230794240.

The previous prime is 133022233010221. The next prime is 133022233010243. The reversal of 133022233010232 is 232010332220331.

133022233010232 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 222 + 330 + 102 + 3 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (133022233010221) and next prime (133022233010243).

It is a junction number, because it is equal to n+sod(n) for n = 133022233010196 and 133022233010205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 20103519 + ... + 25888142.

Almost surely, 2133022233010232 is an apocalyptic number.

133022233010232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

133022233010232 is an abundant number, since it is smaller than the sum of its proper divisors (252438485377968).

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

133022233010232 is a wasteful number, since it uses less digits than its factorization.

133022233010232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45991846 (or 45991822 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 133022233010232 its reverse (232010332220331), we get a palindrome (365032565230563).

The spelling of 133022233010232 in words is "one hundred thirty-three trillion, twenty-two billion, two hundred thirty-three million, ten thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 139 153 204 278 289 306 408 417 556 578 612 834 867 1112 1156 1224 1251 1668 1734 2312 2363 2502 2601 3336 3468 4726 5004 5202 6936 7089 9452 10008 10404 14178 18904 20808 21267 28356 40171 42534 56712 80342 85068 120513 160684 170136 241026 321368 361539 482052 723078 964104 1446156 2892312 45991661 91983322 137974983 183966644 275949966 367933288 413924949 551899932 781858237 827849898 1103799864 1563716474 1655699796 2345574711 3127432948 3311399592 4691149422 6254865896 6392840879 7036724133 9382298844 12785681758 13291590029 14073448266 18764597688 19178522637 25571363516 26583180058 28146896532 38357045274 39874770087 51142727032 53166360116 56293793064 57535567911 76714090548 79749540174 106332720232 108678294943 115071135822 119624310261 153428181096 159499080348 217356589886 230142271644 239248620522 318998160696 326034884829 434713179772 460284543288 478497241044 652069769658 869426359544 956994482088 978104654487 1304139539316 1847531014031 1956209308974 2608279078632 3695062028062 3912418617948 5542593042093 7390124056124 7824837235896 11085186084186 14780248112248 16627779126279 22170372168372 33255558252558 44340744336744 66511116505116 133022233010232