Search a number
-
+
201121012010100 = 22352713173747249199
BaseRepresentation
bin101101101110101100100010…
…011110100100110001110100
3222101002222111010111112102110
4231232230202132210301310
5202330131313033310400
61551425414543211020
760235341111220650
oct5556544236446164
9871088433445373
10201121012010100
11590a0a4007a546
121a682723ba6a70
13882b8262c5710
143794447969a60
15183b944560e50
hexb6eb227a4c74

201121012010100 has 1152 divisors, whose sum is σ = 795395491430400. Its totient is φ = 38031841198080.

The previous prime is 201121012010089. The next prime is 201121012010143. The reversal of 201121012010100 is 1010210121102.

It is a super-2 number, since 2×2011210120101002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 806945301 + ... + 807194499.

It is an arithmetic number, because the mean of its divisors is an integer number (690447475200).

Almost surely, 2201121012010100 is an apocalyptic number.

201121012010100 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 201121012010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (397697745715200).

201121012010100 is an abundant number, since it is smaller than the sum of its proper divisors (594274479420300).

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

201121012010100 is a wasteful number, since it uses less digits than its factorization.

201121012010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249337 (or 249330 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 201121012010100 its reverse (1010210121102), we get a palindrome (202131222131202).

The spelling of 201121012010100 in words is "two hundred one trillion, one hundred twenty-one billion, twelve million, ten thousand, one hundred".