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123132301311021 = 33722712829380917
BaseRepresentation
bin11011111111110011111001…
…000101000111110000101101
3121010222022222210022021020220
4123333303321011013300231
5112114344423113423041
61113514110500401553
734636005133060212
oct3377637105076055
9533868883267226
10123132301311021
1136263130046052
1211987a466a62b9
1353924318451a2
1422598c6d21b09
15e37e48c8cd66
hex6ffcf9147c2d

123132301311021 has 32 divisors (see below), whose sum is σ = 169370038688640. Its totient is φ = 79511345369856.

The previous prime is 123132301310983. The next prime is 123132301311059. The reversal of 123132301311021 is 120113103231321.

It is an interprime number because it is at equal distance from previous prime (123132301310983) and next prime (123132301311059).

It is not a de Polignac number, because 123132301311021 - 215 = 123132301278253 is a prime.

It is a super-2 number, since 2×1231323013110212 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 123132301310982 and 123132301311000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123132301311221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 323061855 + ... + 323442771.

It is an arithmetic number, because the mean of its divisors is an integer number (5292813709020).

Almost surely, 2123132301311021 is an apocalyptic number.

It is an amenable number.

123132301311021 is a deficient number, since it is larger than the sum of its proper divisors (46237737377619).

123132301311021 is a wasteful number, since it uses less digits than its factorization.

123132301311021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394013.

The product of its (nonzero) digits is 648, while the sum is 24.

Adding to 123132301311021 its reverse (120113103231321), we get a palindrome (243245404542342).

The spelling of 123132301311021 in words is "one hundred twenty-three trillion, one hundred thirty-two billion, three hundred one million, three hundred eleven thousand, twenty-one".

Divisors: 1 3 37 111 227 681 8399 12829 25197 38487 380917 474673 1142751 1424019 2912183 8736549 14093929 42281787 86468159 107750771 259404477 323252313 3199321883 4886784193 9597965649 14660352579 180811015141 542433045423 1109300011811 3327900035433 41044100437007 123132301311021