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10102000200 = 2335223732029
BaseRepresentation
bin10010110100010000…
…00100101001001000
3222002000200210002120
421122020010221020
5131142103001300
64350224531240
7505223404425
oct113210045110
928060623076
1010102000200
1143143522a6
121b5b180b20
13c4cb81516
146bb914d4c
153e1d0a3a0
hex25a204a48

10102000200 has 96 divisors (see below), whose sum is σ = 32677819200. Its totient is φ = 2576738560.

The previous prime is 10102000189. The next prime is 10102000211. The reversal of 10102000200 is 200020101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10102000189) and next prime (10102000211).

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 352215 + ... + 379814.

It is an arithmetic number, because the mean of its divisors is an integer number (340393950).

Almost surely, 210102000200 is an apocalyptic number.

10102000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102000200 is an abundant number, since it is smaller than the sum of its proper divisors (22575819000).

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

10102000200 is a wasteful number, since it uses less digits than its factorization.

10102000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 732071 (or 732062 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

Adding to 10102000200 its reverse (200020101), we get a palindrome (10302020301).

The spelling of 10102000200 in words is "ten billion, one hundred two million, two hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 732029 1464058 2196087 2928116 3660145 4392174 5856232 7320290 8784348 10980435 14640580 16836667 17568696 18300725 21960870 29281160 33673334 36601450 43921740 50510001 54902175 67346668 73202900 84183335 87843480 101020002 109804350 134693336 146405800 168366670 202040004 219608700 252550005 336733340 404080008 420916675 439217400 505100010 673466680 841833350 1010200020 1262750025 1683666700 2020400040 2525500050 3367333400 5051000100 10102000200