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101223133020 = 22325562350739
BaseRepresentation
bin101111001000101011…
…1100110111101011100
3100200021102011221022200
41132101113212331130
53124301110224040
6114300135011500
710212255301662
oct1362127467534
9320242157280
10101223133020
1139a23902039
121774b509b90
1397120433a9
144c83692c32
1529767e4630
hex17915e6f5c

101223133020 has 36 divisors (see below), whose sum is σ = 307043504040. Its totient is φ = 26992835424.

The previous prime is 101223133013. The next prime is 101223133103. The reversal of 101223133020 is 20331322101.

101223133020 is a `hidden beast` number, since 101 + 2 + 231 + 330 + 2 + 0 = 666.

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

It is a super-2 number, since 2×1012231330202 (a number of 23 digits) contains 22 as substring.

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 = 101223132984 and 101223133002.

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, 281175190 + ... + 281175549.

Almost surely, 2101223133020 is an apocalyptic number.

101223133020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101223133020 is an abundant number, since it is smaller than the sum of its proper divisors (205820371020).

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

101223133020 is a wasteful number, since it uses less digits than its factorization.

101223133020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562350754 (or 562350749 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 101223133020 its reverse (20331322101), we get a palindrome (121554455121).

The spelling of 101223133020 in words is "one hundred one billion, two hundred twenty-three million, one hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 562350739 1124701478 1687052217 2249402956 2811753695 3374104434 5061156651 5623507390 6748208868 8435261085 10122313302 11247014780 16870522170 20244626604 25305783255 33741044340 50611566510 101223133020