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101013213012 = 22373379304253
BaseRepresentation
bin101111000010011011…
…0110100111101010100
3100122201210011220012120
41132010312310331110
53123333340304022
6114223235415540
710204126100205
oct1360466647524
9318653156176
10101013213012
1139926364028
12176b11545b0
1396aa6c4a7a
144c6384b5ac
15296317ad5c
hex1784db4f54

101013213012 has 48 divisors (see below), whose sum is σ = 239557429440. Its totient is φ = 33122089728.

The previous prime is 101013212957. The next prime is 101013213017. The reversal of 101013213012 is 210312310101.

It is a happy number.

101013213012 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1010132130122 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101013212982 and 101013213000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101013213017) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 179878 + ... + 484130.

It is an arithmetic number, because the mean of its divisors is an integer number (4990779780).

Almost surely, 2101013213012 is an apocalyptic number.

101013213012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101013213012 is an abundant number, since it is smaller than the sum of its proper divisors (138544216428).

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

101013213012 is a wasteful number, since it uses less digits than its factorization.

101013213012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304712 (or 304710 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 101013213012 its reverse (210312310101), we get a palindrome (311325523113).

The spelling of 101013213012 in words is "one hundred one billion, thirteen million, two hundred thirteen thousand, twelve".

Divisors: 1 2 3 4 6 12 73 146 219 292 379 438 758 876 1137 1516 2274 4548 27667 55334 83001 110668 166002 304253 332004 608506 912759 1217012 1825518 3651036 22210469 44420938 66631407 88841876 115311887 133262814 230623774 266525628 345935661 461247548 691871322 1383742644 8417767751 16835535502 25253303253 33671071004 50506606506 101013213012