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10102000212 = 2234264711779
BaseRepresentation
bin10010110100010000…
…00100101001010100
3222002000200210010000
421122020010221110
5131142103001322
64350224531300
7505223404443
oct113210045124
928060623100
1010102000212
114314352307
121b5b180b30
13c4cb81525
146bb914d5a
153e1d0a3ac
hex25a204a54

10102000212 has 60 divisors (see below), whose sum is σ = 26420843680. Its totient is φ = 3365775504.

The previous prime is 10102000211. The next prime is 10102000213. The reversal of 10102000212 is 21200020101.

It is an interprime number because it is at equal distance from previous prime (10102000211) and next prime (10102000213).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10102000194 and 10102000203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10102000211) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 851739 + ... + 863517.

Almost surely, 210102000212 is an apocalyptic number.

10102000212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10102000212 is an abundant number, since it is smaller than the sum of its proper divisors (16318843468).

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

10102000212 is a wasteful number, since it uses less digits than its factorization.

10102000212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14442 (or 14431 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 10102000212 its reverse (21200020101), we get a palindrome (31302020313).

The spelling of 10102000212 in words is "ten billion, one hundred two million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 2647 5294 7941 10588 11779 15882 23558 23823 31764 35337 47116 47646 70674 71469 95292 106011 141348 142938 212022 214407 285876 318033 424044 428814 636066 857628 954099 1272132 1908198 3816396 31179013 62358026 93537039 124716052 187074078 280611117 374148156 561222234 841833351 1122444468 1683666702 2525500053 3367333404 5051000106 10102000212