Search a number
-
+
1010210210112 = 26387722132711
BaseRepresentation
bin11101011001101010011…
…10001000000101000000
310120120112021201211200010
432230311032020011000
5113022402303210422
62052030102424520
7132661644051315
oct16546516100500
93516467654603
101010210210112
1135a478366974
12143951432140
13743546a669c
1436c74488d0c
151b427ce8b0c
hexeb35388140

1010210210112 has 112 divisors (see below), whose sum is σ = 2678092232832. Its totient is φ = 336076769280.

The previous prime is 1010210210071. The next prime is 1010210210131. The reversal of 1010210210112 is 2110120120101.

It is a super-3 number, since 3×10102102101123 (a number of 37 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 372632437 + ... + 372635147.

Almost surely, 21010210210112 is an apocalyptic number.

1010210210112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1010210210112 is an abundant number, since it is smaller than the sum of its proper divisors (1667882022720).

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

1010210210112 is a wasteful number, since it uses less digits than its factorization.

1010210210112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5816 (or 5806 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1010210210112 its reverse (2110120120101), we get a palindrome (3120330330213).

The spelling of 1010210210112 in words is "one trillion, ten billion, two hundred ten million, two hundred ten thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 877 1754 2213 2631 2711 3508 4426 5262 5422 6639 7016 8133 8852 10524 10844 13278 14032 16266 17704 21048 21688 26556 28064 32532 35408 42096 43376 53112 56128 65064 70816 84192 86752 106224 130128 141632 168384 173504 212448 260256 424896 520512 1940801 2377547 3881602 4755094 5822403 5999443 7132641 7763204 9510188 11644806 11998886 14265282 15526408 17998329 19020376 23289612 23997772 28530564 31052816 35996658 38040752 46579224 47995544 57061128 62105632 71993316 76081504 93158448 95991088 114122256 124211264 143986632 152163008 186316896 191982176 228244512 287973264 372633792 383964352 456489024 575946528 1151893056 5261511511 10523023022 15784534533 21046046044 31569069066 42092092088 63138138132 84184184176 126276276264 168368368352 252552552528 336736736704 505105105056 1010210210112