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101001110010 = 2353723836421
BaseRepresentation
bin101111000010000100…
…0101010000111111010
3100122200221102000000020
41132010020222013322
53123322241010020
6114222124151310
710203621161403
oct1360410520772
9318627360006
10101001110010
113991a547949
12176a9098536
1396a8047c28
144c61dba9aa
152962089c40
hex178422a1fa

101001110010 has 96 divisors (see below), whose sum is σ = 249820526592. Its totient is φ = 26133200640.

The previous prime is 101001109943. The next prime is 101001110027. The reversal of 101001110010 is 10011100101.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15726600 + ... + 15733020.

It is an arithmetic number, because the mean of its divisors is an integer number (2602297152).

Almost surely, 2101001110010 is an apocalyptic number.

101001110010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101001110010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124910263296).

101001110010 is an abundant number, since it is smaller than the sum of its proper divisors (148819416582).

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

101001110010 is a wasteful number, since it uses less digits than its factorization.

101001110010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6888 (or 6851 counting only the distinct ones).

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

Adding to 101001110010 its reverse (10011100101), we get a palindrome (111012210111).

Subtracting from 101001110010 its reverse (10011100101), we obtain a palindrome (90990009909).

The spelling of 101001110010 in words is "one hundred one billion, one million, one hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 383 555 766 1110 1149 1369 1915 2298 2738 3830 4107 5745 6421 6845 8214 11490 12842 13690 14171 19263 20535 28342 32105 38526 41070 42513 64210 70855 85026 96315 141710 192630 212565 237577 425130 475154 524327 712731 1048654 1187885 1425462 1572981 2375770 2459243 2621635 3145962 3563655 4918486 5243270 7127310 7377729 7864905 8790349 12296215 14755458 15729810 17580698 24592430 26371047 36888645 43951745 52742094 73777290 87903490 90991991 131855235 181983982 263710470 272975973 454959955 545951946 909919910 1364879865 2729759730 3366703667 6733407334 10100111001 16833518335 20200222002 33667036670 50500555005 101001110010