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133032000213231 = 37192273514728499
BaseRepresentation
bin11110001111110111101101…
…000111011101000011101111
3122110000201211211022211022120
4132033313231013131003233
5114414044014023310411
61150534020205044023
740010146660245060
oct3617675507350357
9573021754284276
10133032000213231
113942a610a8a819
1212b065ab856613
13592cb2c99a5b2
1424bcad7012567
15105a70331c106
hex78fded1dd0ef

133032000213231 has 64 divisors (see below), whose sum is σ = 213527508480000. Its totient is φ = 71969128252416.

The previous prime is 133032000213223. The next prime is 133032000213239. The reversal of 133032000213231 is 132312000230331.

It is an interprime number because it is at equal distance from previous prime (133032000213223) and next prime (133032000213239).

It is not a de Polignac number, because 133032000213231 - 23 = 133032000213223 is a prime.

It is a super-2 number, since 2×1330320002132312 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133032000213239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4667939020 + ... + 4667967518.

It is an arithmetic number, because the mean of its divisors is an integer number (3336367320000).

Almost surely, 2133032000213231 is an apocalyptic number.

133032000213231 is a deficient number, since it is larger than the sum of its proper divisors (80495508266769).

133032000213231 is a wasteful number, since it uses less digits than its factorization.

133032000213231 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35948.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 133032000213231 its reverse (132312000230331), we get a palindrome (265344000443562).

The spelling of 133032000213231 in words is "one hundred thirty-three trillion, thirty-two billion, two hundred thirteen thousand, two hundred thirty-one".

Divisors: 1 3 7 19 21 57 133 399 2273 5147 6819 15441 15911 28499 36029 43187 47733 85497 97793 108087 129561 199493 293379 302309 541481 598479 684551 906927 1624443 2053653 3790367 11371101 11699131 35097393 64778227 81893917 146684353 194334681 222283489 245681751 440053059 453447589 666850467 1026790471 1230786313 1360342767 1555984423 2787002707 3080371413 3692358939 4667953269 8361008121 8615504191 19509018949 25846512573 58527056847 333413534369 1000240603107 2333894740583 6334857153011 7001684221749 19004571459033 44344000071077 133032000213231