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100101010010010 = 23510147287698641
BaseRepresentation
bin10110110000101010010101…
…001001001010111110011010
3111010102120012111110200210120
4112300222111021022332122
5101110023332030310020
6552521434045454110
730041026226102322
oct2660522511127632
9433376174420716
10100101010010010
1129993666582799
12b2882b5871336
1343b163bc88b39
141aa0cb4068282
15b88ccc516740
hex5b0a9524af9a

100101010010010 has 64 divisors (see below), whose sum is σ = 242626539988224. Its totient is φ = 26428712832000.

The previous prime is 100101010010003. The next prime is 100101010010087. The reversal of 100101010010010 is 10010010101001.

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

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 142930290 + ... + 143628930.

It is an arithmetic number, because the mean of its divisors is an integer number (3791039687316).

Almost surely, 2100101010010010 is an apocalyptic number.

100101010010010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100101010010010 is an abundant number, since it is smaller than the sum of its proper divisors (142525529978214).

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

100101010010010 is a wasteful number, since it uses less digits than its factorization.

100101010010010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 746039.

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

Adding to 100101010010010 its reverse (10010010101001), we get a palindrome (110111020111011).

Subtracting from 100101010010010 its reverse (10010010101001), we obtain a palindrome (90090999909009).

The spelling of 100101010010010 in words is "one hundred trillion, one hundred one billion, ten million, ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 101 202 303 505 606 1010 1515 3030 47287 94574 141861 236435 283722 472870 698641 709305 1397282 1418610 2095923 3493205 4191846 4775987 6986410 9551974 10479615 14327961 20959230 23879935 28655922 47759870 70562741 71639805 141125482 143279610 211688223 352813705 423376446 705627410 1058441115 2116882230 33036636967 66073273934 99109910901 165183184835 198219821802 330366369670 495549554505 991099109010 3336700333667 6673400667334 10010101001001 16683501668335 20020202002002 33367003336670 50050505005005 100101010010010