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101101000010100 = 223521013336666667
BaseRepresentation
bin10110111111001101101001…
…001100010010100101110100
3111020222011100112002001222120
4112333031221030102211310
5101222414322000310400
6555005054101555540
730203210012622156
oct2677155114224564
9436864315061876
10101101000010100
112a2397698985a2
12b40a074415bb0
134454a25162b6c
141ad745902aad6
15ba4d07e54ca0
hex5bf369312974

101101000010100 has 72 divisors (see below), whose sum is σ = 295415120118048. Its totient is φ = 26693333328000.

The previous prime is 101101000010071. The next prime is 101101000010113. The reversal of 101101000010100 is 1010000101101.

101101000010100 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1668303034 + ... + 1668363633.

Almost surely, 2101101000010100 is an apocalyptic number.

101101000010100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101101000010100 is an abundant number, since it is smaller than the sum of its proper divisors (194314120107948).

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

101101000010100 is a wasteful number, since it uses less digits than its factorization.

101101000010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3336666785 (or 3336666778 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 6.

Adding to 101101000010100 its reverse (1010000101101), we get a palindrome (102111000111201).

The spelling of 101101000010100 in words is "one hundred one trillion, one hundred one billion, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 101 150 202 300 303 404 505 606 1010 1212 1515 2020 2525 3030 5050 6060 7575 10100 15150 30300 3336666667 6673333334 10010000001 13346666668 16683333335 20020000002 33366666670 40040000004 50050000005 66733333340 83416666675 100100000010 166833333350 200200000020 250250000025 333666666700 337003333367 500500000050 674006666734 1001000000100 1011010000101 1348013333468 1685016666835 2022020000202 3370033333670 4044040000404 5055050000505 6740066667340 8425083334175 10110100001010 16850166668350 20220200002020 25275250002525 33700333336700 50550500005050 101101000010100