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101231213220 = 22325562395629
BaseRepresentation
bin101111001000111011…
…0011011101010100100
3100200021222101110021100
41132101312123222210
53124310142310340
6114301024120100
710212414054264
oct1362166335244
9320258343240
10101231213220
1139a28420895
1217752166030
139713912187
144c847977a4
15297738d830
hex1791d9baa4

101231213220 has 36 divisors (see below), whose sum is σ = 307068013980. Its totient is φ = 26994990144.

The previous prime is 101231213203. The next prime is 101231213227. The reversal of 101231213220 is 22312132101.

101231213220 is a `hidden beast` number, since 1 + 0 + 1 + 231 + 213 + 220 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 50508966564 + 50722246656 = 224742^2 + 225216^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 101231213193 and 101231213202.

It is not an unprimeable number, because it can be changed into a prime (101231213227) 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, 281197635 + ... + 281197994.

It is an arithmetic number, because the mean of its divisors is an integer number (8529667055).

Almost surely, 2101231213220 is an apocalyptic number.

101231213220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101231213220 is an abundant number, since it is smaller than the sum of its proper divisors (205836800760).

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

101231213220 is a wasteful number, since it uses less digits than its factorization.

101231213220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562395644 (or 562395639 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 101231213220 its reverse (22312132101), we get a palindrome (123543345321).

The spelling of 101231213220 in words is "one hundred one billion, two hundred thirty-one million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 562395629 1124791258 1687186887 2249582516 2811978145 3374373774 5061560661 5623956290 6748747548 8435934435 10123121322 11247912580 16871868870 20246242644 25307803305 33743737740 50615606610 101231213220