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10212021100 = 22527313710211
BaseRepresentation
bin10011000001010111…
…10001001101101100
3222100200201102101201
421200223301031230
5131403234133400
64405155015244
7511030514161
oct114053611554
928320642351
1010212021100
114370468666
121b8bb9a524
13c698c3248
146cc394068
153eb7de06a
hex260af136c

10212021100 has 72 divisors (see below), whose sum is σ = 22629832848. Its totient is φ = 3999052800.

The previous prime is 10212021059. The next prime is 10212021101. The reversal of 10212021100 is 112021201.

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

It is not an unprimeable number, because it can be changed into a prime (10212021101) 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, 994995 + ... + 1005205.

It is an arithmetic number, because the mean of its divisors is an integer number (314303234).

Almost surely, 210212021100 is an apocalyptic number.

10212021100 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 10212021100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11314916424).

10212021100 is an abundant number, since it is smaller than the sum of its proper divisors (12417811748).

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

10212021100 is a wasteful number, since it uses less digits than its factorization.

10212021100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10435 (or 10428 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10212021100 its reverse (112021201), we get a palindrome (10324042301).

The spelling of 10212021100 in words is "ten billion, two hundred twelve million, twenty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 73 100 137 146 274 292 365 548 685 730 1370 1460 1825 2740 3425 3650 6850 7300 10001 10211 13700 20002 20422 40004 40844 50005 51055 100010 102110 200020 204220 250025 255275 500050 510550 745403 1000100 1021100 1398907 1490806 2797814 2981612 3727015 5595628 6994535 7454030 13989070 14908060 18635075 27978140 34972675 37270150 69945350 74540300 102120211 139890700 204240422 408480844 510601055 1021202110 2042404220 2553005275 5106010550 10212021100