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10102020300 = 223552415721
BaseRepresentation
bin10010110100010000…
…01001100011001100
3222002000201210200000
421122020021203030
5131142104122200
64350225204300
7505223520141
oct113210114314
928060653600
1010102020300
114314366409
121b5b190690
13c4cb8a708
146bb91c3c8
153e1d11300
hex25a2098cc

10102020300 has 108 divisors (see below), whose sum is σ = 32837049336. Its totient is φ = 2693865600.

The previous prime is 10102020293. The next prime is 10102020307. The reversal of 10102020300 is 302020101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10102020293) and next prime (10102020307).

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×101020203002 (a number of 21 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (10102020307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 183561 + ... + 232160.

Almost surely, 210102020300 is an apocalyptic number.

10102020300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10102020300 is an abundant number, since it is smaller than the sum of its proper divisors (22735029036).

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

10102020300 is a wasteful number, since it uses less digits than its factorization.

10102020300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 415750 (or 415731 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 10102020300 its reverse (302020101), we get a palindrome (10404040401).

The spelling of 10102020300 in words is "ten billion, one hundred two million, twenty thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 81 90 100 108 135 150 162 180 225 243 270 300 324 405 450 486 540 675 810 900 972 1215 1350 1620 2025 2430 2700 4050 4860 6075 8100 12150 24300 415721 831442 1247163 1662884 2078605 2494326 3741489 4157210 4988652 6235815 7482978 8314420 10393025 11224467 12471630 14965956 18707445 20786050 22448934 24943260 31179075 33673401 37414890 41572100 44897868 56122335 62358150 67346802 74829780 93537225 101020203 112244670 124716300 134693604 168367005 187074450 202040406 224489340 280611675 336734010 374148900 404080812 505101015 561223350 673468020 841835025 1010202030 1122446700 1683670050 2020404060 2525505075 3367340100 5051010150 10102020300