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100000102101000 = 2335333333367367
BaseRepresentation
bin10110101111001100010110…
…100100000011000000001000
3111010001220202001102210112020
4112233030112210003000020
5101101400202114213000
6552403225051044440
730030524516034633
oct2657142644030010
9433056661383466
10100000102101000
1129954894703172
12b270833a40720
1343a4c7a343b3a
141a9a0605ccc1a
15b8637373bba0
hex5af316903008

100000102101000 has 64 divisors (see below), whose sum is σ = 312000318564480. Its totient is φ = 26666693892800.

The previous prime is 100000102100923. The next prime is 100000102101007. The reversal of 100000102101000 is 101201000001.

It is a super-2 number, since 2×1000001021010002 (a number of 29 digits) contains 22 as substring.

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 a self number, because there is not a number n which added to its sum of digits gives 100000102101000.

It is not an unprimeable number, because it can be changed into a prime (100000102101007) 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, 16666680684 + ... + 16666686683.

It is an arithmetic number, because the mean of its divisors is an integer number (4875004977570).

Almost surely, 2100000102101000 is an apocalyptic number.

100000102101000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100000102101000 is an abundant number, since it is smaller than the sum of its proper divisors (212000216463480).

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

100000102101000 is a wasteful number, since it uses less digits than its factorization.

100000102101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33333367391 (or 33333367377 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 100000102101000 its reverse (101201000001), we get a palindrome (100101303101001).

The spelling of 100000102101000 in words is "one hundred trillion, one hundred two million, one hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 33333367367 66666734734 100000102101 133333469468 166666836835 200000204202 266666938936 333333673670 400000408404 500000510505 666667347340 800000816808 833334184175 1000001021010 1333334694680 1666668368350 2000002042020 2500002552525 3333336736700 4000004084040 4166670920875 5000005105050 6666673473400 8333341841750 10000010210100 12500012762625 16666683683500 20000020420200 25000025525250 33333367367000 50000051050500 100000102101000