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101001300012 = 22323190502957
BaseRepresentation
bin101111000010000100…
…1011000100000101100
3100122200221202122122100
41132010021120200230
53123322313100022
6114222132215100
710203622612344
oct1360411304054
9318627678570
10101001300012
113991a667678
12176a916a490
1396a80b3562
144c62029d24
1529620c61ac
hex178425882c

101001300012 has 36 divisors (see below), whose sum is σ = 263544613696. Its totient is φ = 32581064160.

The previous prime is 101001300011. The next prime is 101001300041. The reversal of 101001300012 is 210003100101.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×1010013000122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 101001299967 and 101001300003.

It is not an unprimeable number, because it can be changed into a prime (101001300011) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 45250363 + ... + 45252594.

Almost surely, 2101001300012 is an apocalyptic number.

101001300012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101001300012 is an abundant number, since it is smaller than the sum of its proper divisors (162543313684).

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

101001300012 is a wasteful number, since it uses less digits than its factorization.

101001300012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 90502998 (or 90502993 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

Adding to 101001300012 its reverse (210003100101), we get a palindrome (311004400113).

The spelling of 101001300012 in words is "one hundred one billion, one million, three hundred thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 31 36 62 93 124 186 279 372 558 1116 90502957 181005914 271508871 362011828 543017742 814526613 1086035484 1629053226 2805591667 3258106452 5611183334 8416775001 11222366668 16833550002 25250325003 33667100004 50500650006 101001300012