Search a number
-
+
10101020112 = 24358929191
BaseRepresentation
bin10010110100001000…
…10101010111010000
3222001221211222200000
421122010111113100
5131141330120422
64350151530000
7505212153141
oct113204252720
928057758600
1010101020112
114313842a07
121b5a989900
13c4c8ca3a1
146bb73bac8
153e1bb4cac
hex25a1155d0

10101020112 has 120 divisors (see below), whose sum is σ = 29646227520. Its totient is φ = 3329061120.

The previous prime is 10101020093. The next prime is 10101020113. The reversal of 10101020112 is 21102010101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10101020094 and 10101020103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10101020113) 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, 331437 + ... + 360627.

It is an arithmetic number, because the mean of its divisors is an integer number (247051896).

Almost surely, 210101020112 is an apocalyptic number.

10101020112 is a gapful number since it is divisible by the number (12) 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 10101020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14823113760).

10101020112 is an abundant number, since it is smaller than the sum of its proper divisors (19545207408).

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

10101020112 is an equidigital number, since it uses as much as digits as its factorization.

10101020112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29303 (or 29285 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 10101020112 its reverse (21102010101), we get a palindrome (31203030213).

The spelling of 10101020112 in words is "ten billion, one hundred one million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 89 108 144 162 178 216 243 267 324 356 432 486 534 648 712 801 972 1068 1296 1424 1602 1944 2136 2403 3204 3888 4272 4806 6408 7209 9612 12816 14418 19224 21627 28836 29191 38448 43254 57672 58382 86508 87573 115344 116764 173016 175146 233528 262719 346032 350292 467056 525438 700584 788157 1050876 1401168 1576314 2101752 2364471 2597999 3152628 4203504 4728942 5195998 6305256 7093413 7793997 9457884 10391996 12610512 14186826 15587994 18915768 20783992 23381991 28373652 31175988 37831536 41567984 46763982 56747304 62351976 70145973 93527964 113494608 124703952 140291946 187055928 210437919 280583892 374111856 420875838 561167784 631313757 841751676 1122335568 1262627514 1683503352 2525255028 3367006704 5050510056 10101020112