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10140102232 = 2313314766919
BaseRepresentation
bin10010111000110010…
…11010111001011000
3222011200101120020221
421130121122321120
5131231331232412
64354105325424
7506165306161
oct113431327130
928150346227
1010140102232
114333906987
121b6ba96874
13c57a321c0
146c29d2768
153e5334b07
hex25c65ae58

10140102232 has 64 divisors (see below), whose sum is σ = 21585715200. Its totient is φ = 4432648320.

The previous prime is 10140102223. The next prime is 10140102239. The reversal of 10140102232 is 23220104101.

10140102232 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 2×101401022322 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10140102239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118069 + ... + 184987.

It is an arithmetic number, because the mean of its divisors is an integer number (337276800).

Almost surely, 210140102232 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 10140102232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10792857600).

10140102232 is an abundant number, since it is smaller than the sum of its proper divisors (11445612968).

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

10140102232 is a wasteful number, since it uses less digits than its factorization.

10140102232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67016 (or 67012 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 10140102232 its reverse (23220104101), we get a palindrome (33360206333).

The spelling of 10140102232 in words is "ten billion, one hundred forty million, one hundred two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 13 26 31 47 52 62 94 104 124 188 248 376 403 611 806 1222 1457 1612 2444 2914 3224 4888 5828 11656 18941 37882 66919 75764 133838 151528 267676 535352 869947 1739894 2074489 3145193 3479788 4148978 6290386 6959576 8297956 12580772 16595912 25161544 26968357 40887509 53936714 81775018 97500983 107873428 163550036 195001966 215746856 327100072 390003932 780007864 1267512779 2535025558 5070051116 10140102232