Search a number
-
+
10101010100 = 2252412719091
BaseRepresentation
bin10010110100001000…
…10010111010110100
3222001221211110221012
421122010102322310
5131141324310400
64350151411352
7505212112016
oct113204227264
928057743835
1010101010100
114313836435
121b5a983b58
13c4c8c596c
146bb7381b6
153e1bb1d35
hex25a112eb4

10101010100 has 72 divisors (see below), whose sum is σ = 22539140736. Its totient is φ = 3926880000.

The previous prime is 10101010079. The next prime is 10101010163. The reversal of 10101010100 is 101010101.

It is a Harshad number since it is a multiple of its sum of digits (5).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1106555 + ... + 1115645.

Almost surely, 210101010100 is an apocalyptic number.

10101010100 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 10101010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11269570368).

10101010100 is an abundant number, since it is smaller than the sum of its proper divisors (12438130636).

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

10101010100 is a wasteful number, since it uses less digits than its factorization.

10101010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9417 (or 9410 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 5.

Adding to 10101010100 its reverse (101010101), we get a palindrome (10202020201).

Subtracting from 10101010100 its reverse (101010101), we obtain a palindrome (9999999999).

10101010100 divided by its reverse (101010101) gives a square (100 = 102).

The spelling of 10101010100 in words is "ten billion, one hundred one million, ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 41 50 82 100 164 205 271 410 542 820 1025 1084 1355 2050 2710 4100 5420 6775 9091 11111 13550 18182 22222 27100 36364 44444 45455 55555 90910 111110 181820 222220 227275 277775 372731 454550 555550 745462 909100 1111100 1490924 1863655 2463661 3727310 4927322 7454620 9318275 9854644 12318305 18636550 24636610 37273100 49273220 61591525 101010101 123183050 202020202 246366100 404040404 505050505 1010101010 2020202020 2525252525 5050505050 10101010100