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202120023040 = 21051317178627
BaseRepresentation
bin1011110000111101001…
…0101100110000000000
3201022201002111000101021
42330033102230300000
511302420211214130
6232504101315224
720413502564125
oct2741722546000
9638632430337
10202120023040
117879a535961
1233209705b14
13160a15caa90
149ad58a074c
1553ce64437a
hex2f0f4acc00

202120023040 has 176 divisors, whose sum is σ = 552865092192. Its totient is φ = 70238601216.

The previous prime is 202120023037. The next prime is 202120023041. The reversal of 202120023040 is 40320021202.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (202120023041) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1042207 + ... + 1220833.

Almost surely, 2202120023040 is an apocalyptic number.

202120023040 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 202120023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276432546096).

202120023040 is an abundant number, since it is smaller than the sum of its proper divisors (350745069152).

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

202120023040 is a wasteful number, since it uses less digits than its factorization.

202120023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178682 (or 178664 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 16.

Adding to 202120023040 its reverse (40320021202), we get a palindrome (242440044242).

The spelling of 202120023040 in words is "two hundred two billion, one hundred twenty million, twenty-three thousand, forty".