Search a number
-
+
10100222200 = 23521011074673
BaseRepresentation
bin10010110100000010…
…10010100011111000
3222001220100110010201
421122001102203320
5131141124102300
64350122451544
7505202320645
oct113201224370
928056313121
1010100222200
114313348482
121b5a663bb4
13c4c6ab153
146bb5b0dcc
153e1aa866a
hex25a0528f8

10100222200 has 96 divisors (see below), whose sum is σ = 23942284560. Its totient is φ = 3961856000.

The previous prime is 10100222177. The next prime is 10100222207. The reversal of 10100222200 is 222200101.

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 (10100222207) 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, 2159064 + ... + 2163736.

Almost surely, 210100222200 is an apocalyptic number.

10100222200 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 10100222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11971142280).

10100222200 is an abundant number, since it is smaller than the sum of its proper divisors (13842062360).

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

10100222200 is a wasteful number, since it uses less digits than its factorization.

10100222200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4897 (or 4888 counting only the distinct ones).

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

Adding to 10100222200 its reverse (222200101), we get a palindrome (10322422301).

The spelling of 10100222200 in words is "ten billion, one hundred million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 107 200 202 214 404 428 505 535 808 856 1010 1070 2020 2140 2525 2675 4040 4280 4673 5050 5350 9346 10100 10700 10807 18692 20200 21400 21614 23365 37384 43228 46730 54035 86456 93460 108070 116825 186920 216140 233650 270175 432280 467300 471973 500011 540350 934600 943946 1000022 1080700 1887892 2000044 2161400 2359865 2500055 3775784 4000088 4719730 5000110 9439460 10000220 11799325 12500275 18878920 20000440 23598650 25000550 47197300 50001100 50501111 94394600 100002200 101002222 202004444 252505555 404008888 505011110 1010022220 1262527775 2020044440 2525055550 5050111100 10100222200