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10020201200 = 2452175327803
BaseRepresentation
bin10010101010100000…
…00010001011110000
3221212022202221221222
421111100002023300
5131010132414300
64334143404212
7503211206402
oct112520021360
927768687858
1010020201200
114282162519
121b378b3668
13c38c41349
146b0b00b72
153d9a4d785
hex2554022f0

10020201200 has 120 divisors (see below), whose sum is σ = 25971493968. Its totient is φ = 3701002240.

The previous prime is 10020201193. The next prime is 10020201203. The reversal of 10020201200 is 210202001.

It is a Harshad number since it is a multiple of its sum of digits (8).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10020201203) 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, 346499 + ... + 374301.

Almost surely, 210020201200 is an apocalyptic number.

10020201200 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 10020201200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12985746984).

10020201200 is an abundant number, since it is smaller than the sum of its proper divisors (15951292768).

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

10020201200 is a wasteful number, since it uses less digits than its factorization.

10020201200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27891 (or 27880 counting only the distinct ones).

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

Adding to 10020201200 its reverse (210202001), we get a palindrome (10230403201).

The spelling of 10020201200 in words is "ten billion, twenty million, two hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 17 20 25 34 40 50 53 68 80 85 100 106 136 170 200 212 265 272 340 400 424 425 530 680 848 850 901 1060 1325 1360 1700 1802 2120 2650 3400 3604 4240 4505 5300 6800 7208 9010 10600 14416 18020 21200 22525 27803 36040 45050 55606 72080 90100 111212 139015 180200 222424 278030 360400 444848 472651 556060 695075 945302 1112120 1390150 1473559 1890604 2224240 2363255 2780300 2947118 3781208 4726510 5560600 5894236 7367795 7562416 9453020 11121200 11788472 11816275 14735590 18906040 23576944 23632550 25050503 29471180 36838975 37812080 47265100 50101006 58942360 73677950 94530200 100202012 117884720 125252515 147355900 189060400 200404024 250505030 294711800 400808048 501010060 589423600 626262575 1002020120 1252525150 2004040240 2505050300 5010100600 10020201200