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10102020192 = 2533111636521
BaseRepresentation
bin10010110100010000…
…01001100001100000
3222002000201210112000
421122020021201200
5131142104121232
64350225204000
7505223516625
oct113210114140
928060653460
1010102020192
114314366320
121b5b190600
13c4cb8a654
146bb91c34c
153e1d1127c
hex25a209860

10102020192 has 192 divisors, whose sum is σ = 32344945920. Its totient is φ = 3041971200.

The previous prime is 10102020191. The next prime is 10102020239. The reversal of 10102020192 is 29102020101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102020191) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1545892 + ... + 1552412.

It is an arithmetic number, because the mean of its divisors is an integer number (168463260).

Almost surely, 210102020192 is an apocalyptic number.

10102020192 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 10102020192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16172472960).

10102020192 is an abundant number, since it is smaller than the sum of its proper divisors (22242925728).

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

10102020192 is a wasteful number, since it uses less digits than its factorization.

10102020192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6714 (or 6700 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10102020192 its reverse (29102020101), we get a palindrome (39204040293).

It can be divided in two parts, 1010 and 2020192, that added together give a palindrome (2021202).

The spelling of 10102020192 in words is "ten billion, one hundred two million, twenty thousand, one hundred ninety-two".