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120213332212131 = 32191279154960671
BaseRepresentation
bin11011010101010101011000…
…111101101011100110100011
3120202122021121210222021021100
4123111111120331223212203
5111224033401021242011
61103401124210325443
734215061303106244
oct3325253075534643
9522567553867240
10120213332212131
1135338208095744
1211596195889883
1352100b78b6462
1421984dba76ccb
15dd705829ed56
hex6d5558f6b9a3

120213332212131 has 24 divisors (see below), whose sum is σ = 182794798218240. Its totient is φ = 75918272684400.

The previous prime is 120213332212123. The next prime is 120213332212133. The reversal of 120213332212131 is 131212233312021.

120213332212131 is a `hidden beast` number, since 1 + 2 + 0 + 213 + 3 + 322 + 121 + 3 + 1 = 666.

It is not a de Polignac number, because 120213332212131 - 23 = 120213332212123 is a prime.

It is a super-2 number, since 2×1202133322121312 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 120213332212095 and 120213332212104.

It is not an unprimeable number, because it can be changed into a prime (120213332212133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25293075 + ... + 29667596.

It is an arithmetic number, because the mean of its divisors is an integer number (7616449925760).

Almost surely, 2120213332212131 is an apocalyptic number.

120213332212131 is a deficient number, since it is larger than the sum of its proper divisors (62581466006109).

120213332212131 is a wasteful number, since it uses less digits than its factorization.

120213332212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54973487 (or 54973484 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 120213332212131 its reverse (131212233312021), we get a palindrome (251425565524152).

The spelling of 120213332212131 in words is "one hundred twenty trillion, two hundred thirteen billion, three hundred thirty-two million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 19 57 171 12791 38373 115119 243029 729087 2187261 54960671 164882013 494646039 1044252749 3132758247 9398274741 703001942761 2109005828283 6327017484849 13357036912459 40071110737377 120213332212131