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133220001321 = 33112916099613
BaseRepresentation
bin111110000010010000…
…1111110011000101001
3110201212022221021001000
41330010201332120221
54140313310020241
6141111142545213
712424213220211
oct1740441763051
9421768837030
10133220001321
1151553243850
122199b138209
13c741027264
14663adbd241
1536ea8b2eb6
hex1f0487e629

133220001321 has 64 divisors (see below), whose sum is σ = 222890976000. Its totient is φ = 77898723840.

The previous prime is 133220001319. The next prime is 133220001347. The reversal of 133220001321 is 123100022331.

133220001321 is a `hidden beast` number, since 1 + 332 + 200 + 0 + 132 + 1 = 666.

It is not a de Polignac number, because 133220001321 - 21 = 133220001319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 133220001294 and 133220001303.

It is not an unprimeable number, because it can be changed into a prime (133220001301) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13853511 + ... + 13863123.

It is an arithmetic number, because the mean of its divisors is an integer number (3482671500).

Almost surely, 2133220001321 is an apocalyptic number.

133220001321 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

133220001321 is a deficient number, since it is larger than the sum of its proper divisors (89670974679).

133220001321 is a wasteful number, since it uses less digits than its factorization.

133220001321 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11271 (or 11265 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 133220001321 its reverse (123100022331), we get a palindrome (256320023652).

The spelling of 133220001321 in words is "one hundred thirty-three billion, two hundred twenty million, one thousand, three hundred twenty-one".

Divisors: 1 3 9 11 27 29 33 87 99 261 297 319 783 957 1609 2871 4827 8613 9613 14481 17699 28839 43443 46661 53097 86517 105743 139983 159291 259551 278777 317229 419949 477873 513271 836331 951687 1259847 1539813 2508993 2855061 3066547 4619439 7526979 9199641 13858317 15467317 27598923 46401951 82796769 139205853 170140487 417617559 448552193 510421461 1345656579 1531264383 4036969737 4593793149 4934074123 12110909211 14802222369 44406667107 133220001321