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101001210012 = 22335097012621
BaseRepresentation
bin101111000010000100…
…1000010100010011100
3100122200221121002012000
41132010021002202130
53123322302210022
6114222130242300
710203622056063
oct1360411024234
9318627532160
10101001210012
113991a605a9a
12176a9126390
1396a80815c1
144c620051da
1529620a96ac
hex178424289c

101001210012 has 96 divisors (see below), whose sum is σ = 262843963200. Its totient is φ = 33540192000.

The previous prime is 101001209927. The next prime is 101001210041. The reversal of 101001210012 is 210012100101.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 101001209976 and 101001210003.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38534062 + ... + 38536682.

It is an arithmetic number, because the mean of its divisors is an integer number (2737957950).

Almost surely, 2101001210012 is an apocalyptic number.

101001210012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101001210012 is an abundant number, since it is smaller than the sum of its proper divisors (161842753188).

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

101001210012 is a wasteful number, since it uses less digits than its factorization.

101001210012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3844 (or 3836 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 101001210012 its reverse (210012100101), we get a palindrome (311013310113).

The spelling of 101001210012 in words is "one hundred one billion, one million, two hundred ten thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 509 701 1018 1402 1527 2036 2103 2621 2804 3054 4206 4581 5242 6108 6309 7863 8412 9162 10484 12618 13743 15726 18324 18927 23589 25236 27486 31452 37854 47178 54972 70767 75708 94356 141534 283068 356809 713618 1070427 1334089 1427236 1837321 2140854 2668178 3211281 3674642 4002267 4281708 5336356 5511963 6422562 7349284 8004534 9633843 11023926 12006801 12845124 16009068 16535889 19267686 22047852 24013602 33071778 36020403 38535372 48027204 49607667 66143556 72040806 99215334 144081612 198430668 935196389 1870392778 2805589167 3740785556 5611178334 8416767501 11222356668 16833535002 25250302503 33667070004 50500605006 101001210012