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201232100020 = 22572380977249
BaseRepresentation
bin1011101101101001011…
…1100010101010110100
3201020102012200211222111
42323122113202222310
511244110404200040
6232240022140404
720352501425230
oct2733227425264
9636365624874
10201232100020
1178384302186
1233000281704
1315c8c672443
149a4d9a95c0
15537b700dea
hex2eda5e2ab4

201232100020 has 96 divisors (see below), whose sum is σ = 504584640000. Its totient is φ = 65911701504.

The previous prime is 201232099987. The next prime is 201232100029. The reversal of 201232100020 is 20001232102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201232100029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2566356 + ... + 2643604.

It is an arithmetic number, because the mean of its divisors is an integer number (5256090000).

Almost surely, 2201232100020 is an apocalyptic number.

201232100020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201232100020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252292320000).

201232100020 is an abundant number, since it is smaller than the sum of its proper divisors (303352539980).

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

201232100020 is a wasteful number, since it uses less digits than its factorization.

201232100020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78097 (or 78095 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 201232100020 its reverse (20001232102), we get a palindrome (221233332122).

The spelling of 201232100020 in words is "two hundred one billion, two hundred thirty-two million, one hundred thousand, twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 92 115 140 161 230 322 460 644 805 809 1610 1618 3220 3236 4045 5663 8090 11326 16180 18607 22652 28315 37214 56630 74428 77249 93035 113260 130249 154498 186070 260498 308996 372140 386245 520996 540743 651245 772490 1081486 1302490 1544980 1776727 2162972 2604980 2703715 3553454 5407430 7106908 8883635 10814860 12437089 17767270 24874178 35534540 49748356 62185445 62494441 124370890 124988882 248741780 249977764 312472205 437461087 624944410 874922174 1249888820 1437372143 1749844348 2187305435 2874744286 4374610870 5749488572 7186860715 8749221740 10061605001 14373721430 20123210002 28747442860 40246420004 50308025005 100616050010 201232100020