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201111002233020 = 223551121163294059
BaseRepresentation
bin101101101110100011001101…
…110110010011100010111100
3222101002000122112100011200000
4231232203031312103202330
5202330000313032424040
61551421041411034300
760234535054425255
oct5556431566234274
9871060575304600
10201111002233020
1159097773897900
121a6807ab89b990
13882a8bc593cb9
143793b783bdb2c
15183b55a8c1130
hexb6e8cdd938bc

201111002233020 has 432 divisors, whose sum is σ = 695971167615360. Its totient is φ = 48712095653760.

The previous prime is 201111002232997. The next prime is 201111002233051. The reversal of 201111002233020 is 20332200111102.

201111002233020 is a `hidden beast` number, since 20 + 11 + 110 + 0 + 223 + 302 + 0 = 666.

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 = 201111002232984 and 201111002233002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 683766751 + ... + 684060809.

It is an arithmetic number, because the mean of its divisors is an integer number (1611044369480).

Almost surely, 2201111002233020 is an apocalyptic number.

201111002233020 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 201111002233020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (347985583807680).

201111002233020 is an abundant number, since it is smaller than the sum of its proper divisors (494860165382340).

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

201111002233020 is a wasteful number, since it uses less digits than its factorization.

201111002233020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 295268 (or 295243 counting only the distinct ones).

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

Adding to 201111002233020 its reverse (20332200111102), we get a palindrome (221443202344122).

The spelling of 201111002233020 in words is "two hundred one trillion, one hundred eleven billion, two million, two hundred thirty-three thousand, twenty".