Search a number
-
+
10232101012 = 2272379137743
BaseRepresentation
bin10011000011110000…
…10111100010010100
3222102002111120212011
421201320113202110
5131423404213022
64411153234004
7511363265200
oct114170274224
928362446764
1010232101012
114380832a31
121b96862904
13c70b03b53
146d0cddb00
153ed458977
hex261e17894

10232101012 has 36 divisors (see below), whose sum is σ = 20884745280. Its totient is φ = 4373583984.

The previous prime is 10232100997. The next prime is 10232101037. The reversal of 10232101012 is 21010123201.

It is a super-2 number, since 2×102321010122 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10232100983 and 10232101001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5413 + ... + 143155.

Almost surely, 210232101012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10232101012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10442372640).

10232101012 is an abundant number, since it is smaller than the sum of its proper divisors (10652644268).

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

10232101012 is a wasteful number, since it uses less digits than its factorization.

10232101012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138140 (or 138131 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10232101012 its reverse (21010123201), we get a palindrome (31242224213).

The spelling of 10232101012 in words is "ten billion, two hundred thirty-two million, one hundred one thousand, twelve".

Divisors: 1 2 4 7 14 28 49 98 196 379 758 1516 2653 5306 10612 18571 37142 74284 137743 275486 550972 964201 1928402 3856804 6749407 13498814 26997628 52204597 104409194 208818388 365432179 730864358 1461728716 2558025253 5116050506 10232101012