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101223232020 = 223251734132429
BaseRepresentation
bin101111001000101011…
…1111111001000010100
3100200021102100222010100
41132101113333020110
53124301121411040
6114300141054100
710212256163421
oct1362127771024
9320242328110
10101223232020
1139a2396a459
121774b557330
139712079481
144c836bad48
152976813b30
hex17915ff214

101223232020 has 72 divisors (see below), whose sum is σ = 307070978760. Its totient is φ = 26990472960.

The previous prime is 101223232007. The next prime is 101223232027. The reversal of 101223232020 is 20232322101.

101223232020 is a `hidden beast` number, since 101 + 223 + 2 + 320 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 38605176324 + 62618055696 = 196482^2 + 250236^2 .

It is a super-2 number, since 2×1012232320202 (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 = 101223231984 and 101223232002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101223232027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3105166 + ... + 3137594.

It is an arithmetic number, because the mean of its divisors is an integer number (4264874705).

Almost surely, 2101223232020 is an apocalyptic number.

101223232020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101223232020 is an abundant number, since it is smaller than the sum of its proper divisors (205847746740).

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

101223232020 is a wasteful number, since it uses less digits than its factorization.

101223232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49785 (or 49780 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 101223232020 its reverse (20232322101), we get a palindrome (121455554121).

The spelling of 101223232020 in words is "one hundred one billion, two hundred twenty-three million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 17341 32429 34682 52023 64858 69364 86705 97287 104046 129716 156069 162145 173410 194574 208092 260115 291861 312138 324290 346820 389148 486435 520230 583722 624276 648580 780345 972870 1040460 1167444 1459305 1560690 1945740 2918610 3121380 5837220 562351289 1124702578 1687053867 2249405156 2811756445 3374107734 5061161601 5623512890 6748215468 8435269335 10122323202 11247025780 16870538670 20244646404 25305808005 33741077340 50611616010 101223232020