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133213410040 = 2354377449657
BaseRepresentation
bin111110000010000100…
…0110101001011111000
3110201211212112101111111
41330010020311023320
54140310113110130
6141110345410104
712424103205514
oct1740410651370
9421755471444
10133213410040
115154a551707
1221998a99934
13c73c85a0a9
14663a185144
1536ea01002a
hex1f042352f8

133213410040 has 32 divisors (see below), whose sum is σ = 306700645680. Its totient is φ = 52046168832.

The previous prime is 133213409983. The next prime is 133213410041. The reversal of 133213410040 is 40014312331.

It is a super-2 number, since 2×1332134100402 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 133213409993 and 133213410020.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133213410041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 38723109 + ... + 38726548.

Almost surely, 2133213410040 is an apocalyptic number.

133213410040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133213410040 is an abundant number, since it is smaller than the sum of its proper divisors (173487235640).

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

133213410040 is a wasteful number, since it uses less digits than its factorization.

133213410040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77449711 (or 77449707 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 133213410040 its reverse (40014312331), we get a palindrome (173227722371).

The spelling of 133213410040 in words is "one hundred thirty-three billion, two hundred thirteen million, four hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 43 86 172 215 344 430 860 1720 77449657 154899314 309798628 387248285 619597256 774496570 1548993140 3097986280 3330335251 6660670502 13321341004 16651676255 26642682008 33303352510 66606705020 133213410040