Search a number
-
+
10101331020 = 22351115305047
BaseRepresentation
bin10010110100001011…
…00001010001001100
3222001222102210011010
421122011201101030
5131141420043040
64350202325220
7505214616444
oct113205412114
928058383133
1010101331020
114313a35560
121b5aab9810
13c4c9a8a61
146bb7bd124
153e1c26e80
hex25a16144c

10101331020 has 48 divisors (see below), whose sum is σ = 30854976768. Its totient is φ = 2448807360.

The previous prime is 10101331013. The next prime is 10101331027. The reversal of 10101331020 is 2013310101.

It is an interprime number because it is at equal distance from previous prime (10101331013) and next prime (10101331027).

It is a super-2 number, since 2×101013310202 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 10101330987 and 10101331005.

It is not an unprimeable number, because it can be changed into a prime (10101331027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7651864 + ... + 7653183.

It is an arithmetic number, because the mean of its divisors is an integer number (642812016).

Almost surely, 210101331020 is an apocalyptic number.

10101331020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10101331020 is an abundant number, since it is smaller than the sum of its proper divisors (20753645748).

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

10101331020 is a wasteful number, since it uses less digits than its factorization.

10101331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15305070 (or 15305068 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 12.

Adding to 10101331020 its reverse (2013310101), we get a palindrome (12114641121).

The spelling of 10101331020 in words is "ten billion, one hundred one million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 15305047 30610094 45915141 61220188 76525235 91830282 153050470 168355517 183660564 229575705 306100940 336711034 459151410 505066551 673422068 841777585 918302820 1010133102 1683555170 2020266204 2525332755 3367110340 5050665510 10101331020