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10102020096 = 21137317577
BaseRepresentation
bin10010110100010000…
…01001100000000000
3222002000201210101110
421122020021200000
5131142104120341
64350225203320
7505223516430
oct113210114000
928060653343
1010102020096
114314366243
121b5b190540
13c4cb8a5ac
146bb91c2c0
153e1d11216
hex25a209800

10102020096 has 192 divisors, whose sum is σ = 31776675840. Its totient is φ = 2792816640.

The previous prime is 10102020091. The next prime is 10102020119. The reversal of 10102020096 is 69002020101.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102020091) 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, 1329460 + ... + 1337036.

It is an arithmetic number, because the mean of its divisors is an integer number (165503520).

Almost surely, 210102020096 is an apocalyptic number.

10102020096 is a gapful number since it is divisible by the number (16) 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 10102020096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15888337920).

10102020096 is an abundant number, since it is smaller than the sum of its proper divisors (21674655744).

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

10102020096 is an equidigital number, since it uses as much as digits as its factorization.

10102020096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7640 (or 7620 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 10102020096 its reverse (69002020101), we get a palindrome (79104040197).

The spelling of 10102020096 in words is "ten billion, one hundred two million, twenty thousand, ninety-six".