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133122011655216 = 24319263112175087
BaseRepresentation
bin11110010001001011100010…
…001101110110110000110000
3122110100100011212201211220010
4132101023202031312300300
5114422032334440431331
61151043224034414520
740016514356005143
oct3621134215666060
9573310155654803
10133122011655216
11394648011063a1
1212b1bb30431440
135938475c9787c
1424c31d564c05a
15105cc206a8e46
hex7912e2376c30

133122011655216 has 120 divisors (see below), whose sum is σ = 363526309922304. Its totient is φ = 41971904472960.

The previous prime is 133122011655209. The next prime is 133122011655257. The reversal of 133122011655216 is 612556110221331.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4846425 + ... + 17021511.

Almost surely, 2133122011655216 is an apocalyptic number.

133122011655216 is a gapful number since it is divisible by the number (16) 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 133122011655216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181763154961152).

133122011655216 is an abundant number, since it is smaller than the sum of its proper divisors (230404298267088).

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

133122011655216 is a wasteful number, since it uses less digits than its factorization.

133122011655216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12175767 (or 12175742 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 39.

Adding to 133122011655216 its reverse (612556110221331), we get a palindrome (745678121876547).

The spelling of 133122011655216 in words is "one hundred thirty-three trillion, one hundred twenty-two billion, eleven million, six hundred fifty-five thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 228 304 361 456 631 722 912 1083 1262 1444 1893 2166 2524 2888 3786 4332 5048 5776 7572 8664 10096 11989 15144 17328 23978 30288 35967 47956 71934 95912 143868 191824 227791 287736 455582 575472 683373 911164 1366746 1822328 2733492 3644656 5466984 10933968 12175087 24350174 36525261 48700348 73050522 97400696 146101044 194801392 231326653 292202088 462653306 584404176 693979959 925306612 1387959918 1850613224 2775919836 3701226448 4395206407 5551839672 7682479897 8790412814 11103679344 13185619221 15364959794 17580825628 23047439691 26371238442 30729919588 35161651256 46094879382 52742476884 61459839176 70323302512 92189758764 105484953768 122919678352 145967118043 184379517528 210969907536 291934236086 368759035056 437901354129 583868472172 875802708258 1167736944344 1751605416516 2335473888688 2773375242817 3503210833032 5546750485634 7006421666064 8320125728451 11093500971268 16640251456902 22187001942536 33280502913804 44374003885072 66561005827608 133122011655216