Search a number
-
+
10210100102132 = 22710131024735129
BaseRepresentation
bin1001010010010011100101…
…1000111100001111110100
31100011002001102122021202112
42110210321120330033310
52314240241111232012
633414242155230152
72102440540632230
oct224447130741764
940132042567675
1010210100102132
113287096370467
12118a951a48358
13590a67b12c98
1427425878d5c0
1512a8c4e4a122
hex9493963c3f4

10210100102132 has 48 divisors (see below), whose sum is σ = 20442935036160. Its totient is φ = 4370886550272.

The previous prime is 10210100102131. The next prime is 10210100102171. The reversal of 10210100102132 is 23120100101201.

10210100102132 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×102101001021322 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10210100102131) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 290628344 + ... + 290663472.

It is an arithmetic number, because the mean of its divisors is an integer number (425894479920).

Almost surely, 210210100102132 is an apocalyptic number.

It is an amenable number.

10210100102132 is an abundant number, since it is smaller than the sum of its proper divisors (10232834934028).

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

10210100102132 is a wasteful number, since it uses less digits than its factorization.

10210100102132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46400 (or 46398 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 10210100102132 its reverse (23120100101201), we get a palindrome (33330200203333).

The spelling of 10210100102132 in words is "ten trillion, two hundred ten billion, one hundred million, one hundred two thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 28 1013 2026 4052 7091 10247 14182 20494 28364 35129 40988 70258 71729 140516 143458 245903 286916 491806 983612 10380211 20760422 35585677 41520844 71171354 72661477 142342708 145322954 249099739 290645908 359966863 498199478 719933726 996398956 1439867452 2519768041 5039536082 10079072164 364646432219 729292864438 1458585728876 2552525025533 5105050051066 10210100102132