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101220210324 = 223213720523157
BaseRepresentation
bin101111001000100110…
…0011101011010010100
3100200021012200110010200
41132101030131122110
53124244333212244
6114255552220500
710212221410002
oct1362114353224
9320235613120
10101220210324
1139a22196192
121774a53a730
13971155bc9c
144c83131a72
152976418669
hex179131d694

101220210324 has 36 divisors (see below), whose sum is σ = 257729818164. Its totient is φ = 33493790592.

The previous prime is 101220210293. The next prime is 101220210337. The reversal of 101220210324 is 423012022101.

It is a happy number.

101220210324 is a `hidden beast` number, since 10 + 122 + 0 + 210 + 324 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 51343028100 + 49877182224 = 226590^2 + 223332^2 .

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 = 101220210297 and 101220210306.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10256647 + ... + 10266510.

Almost surely, 2101220210324 is an apocalyptic number.

It is an amenable number.

101220210324 is an abundant number, since it is smaller than the sum of its proper divisors (156509607840).

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

101220210324 is a wasteful number, since it uses less digits than its factorization.

101220210324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20523304 (or 20523299 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 101220210324 its reverse (423012022101), we get a palindrome (524232232425).

The spelling of 101220210324 in words is "one hundred one billion, two hundred twenty million, two hundred ten thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 18 36 137 274 411 548 822 1233 1644 2466 4932 20523157 41046314 61569471 82092628 123138942 184708413 246277884 369416826 738833652 2811672509 5623345018 8435017527 11246690036 16870035054 25305052581 33740070108 50610105162 101220210324