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10220201200 = 24521141181313
BaseRepresentation
bin10011000010010101…
…11110010011110000
3222101021010000101101
421201022332103300
5131412332414300
64410050214144
7511160163646
oct114112762360
928337100341
1010220201200
114375045480
121b92884354
13c6b4c8641
146cd4c3196
153ec3a7b6a
hex2612be4f0

10220201200 has 240 divisors, whose sum is σ = 27679290912. Its totient is φ = 3594240000.

The previous prime is 10220201177. The next prime is 10220201209. The reversal of 10220201200 is 210202201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220201209) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32652244 + ... + 32652556.

Almost surely, 210220201200 is an apocalyptic number.

10220201200 is a gapful number since it is divisible by the number (10) 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 10220201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13839645456).

10220201200 is an abundant number, since it is smaller than the sum of its proper divisors (17459089712).

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

10220201200 is a wasteful number, since it uses less digits than its factorization.

10220201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 564 (or 553 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 10220201200 its reverse (210202201), we get a palindrome (10430403401).

The spelling of 10220201200 in words is "ten billion, two hundred twenty million, two hundred one thousand, two hundred".