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10220310200 = 23523710971259
BaseRepresentation
bin10011000010010110…
…11000111010111000
3222101021022112220102
421201023120322320
5131412344411300
64410052414532
7511161126512
oct114113307270
928337275812
1010220310200
11437510a361
121b92917448
13c6b536139
146cd510bb2
153ec3ca0d5
hex2612d8eb8

10220310200 has 96 divisors (see below), whose sum is σ = 24446091600. Its totient is φ = 3970851840.

The previous prime is 10220310193. The next prime is 10220310203. The reversal of 10220310200 is 201302201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10220310203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8117171 + ... + 8118429.

Almost surely, 210220310200 is an apocalyptic number.

10220310200 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 10220310200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12223045800).

10220310200 is an abundant number, since it is smaller than the sum of its proper divisors (14225781400).

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

10220310200 is a wasteful number, since it uses less digits than its factorization.

10220310200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2409 (or 2400 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10220310200 its reverse (201302201), we get a palindrome (10421612401).

The spelling of 10220310200 in words is "ten billion, two hundred twenty million, three hundred ten thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 37 40 50 74 100 148 185 200 296 370 740 925 1097 1259 1480 1850 2194 2518 3700 4388 5036 5485 6295 7400 8776 10072 10970 12590 21940 25180 27425 31475 40589 43880 46583 50360 54850 62950 81178 93166 109700 125900 162356 186332 202945 219400 232915 251800 324712 372664 405890 465830 811780 931660 1014725 1164575 1381123 1623560 1863320 2029450 2329150 2762246 4058900 4658300 5524492 6905615 8117800 9316600 11048984 13811230 27622460 34528075 51101551 55244920 69056150 102203102 138112300 204406204 255507755 276224600 408812408 511015510 1022031020 1277538775 2044062040 2555077550 5110155100 10220310200