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10102102000 = 245321432357
BaseRepresentation
bin10010110100010000…
…11101011111110000
3222002000212221201221
421122020131133300
5131142114231000
64350231034424
7505224310264
oct113210353760
928060787657
1010102102000
114314411831
121b5b20ba14
13c4cbb8963
146bb9400a4
153e1d2a61a
hex25a21d7f0

10102102000 has 80 divisors (see below), whose sum is σ = 24448649472. Its totient is φ = 4037241600.

The previous prime is 10102101991. The next prime is 10102102009. The reversal of 10102102000 is 20120101.

10102102000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (10102101991) and next prime (10102102009).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102102009) 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, 4284822 + ... + 4287178.

Almost surely, 210102102000 is an apocalyptic number.

10102102000 is a gapful number since it is divisible by the number (10) 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 10102102000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12224324736).

10102102000 is an abundant number, since it is smaller than the sum of its proper divisors (14346547472).

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

10102102000 is a wasteful number, since it uses less digits than its factorization.

10102102000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523 (or 4507 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 10102102000 its reverse (20120101), we get a palindrome (10122222101).

The spelling of 10102102000 in words is "ten billion, one hundred two million, one hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 2143 2357 4286 4714 8572 9428 10715 11785 17144 18856 21430 23570 34288 37712 42860 47140 53575 58925 85720 94280 107150 117850 171440 188560 214300 235700 267875 294625 428600 471400 535750 589250 857200 942800 1071500 1178500 2143000 2357000 4286000 4714000 5051051 10102102 20204204 25255255 40408408 50510510 80816816 101021020 126276275 202042040 252552550 404084080 505105100 631381375 1010210200 1262762750 2020420400 2525525500 5051051000 10102102000