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10001010101010 = 23573137167199601
BaseRepresentation
bin1001000110001000101010…
…1001111000101100010010
31022102002100120220200220220
42101202022221320230102
52302324032041213020
633134222311013510
72051356232145225
oct221421251705422
938362316820826
1010001010101010
11320644a526945
12115631a06a296
135771254c1226
142680a13495bc
1512523896c240
hex9188aa78b12

10001010101010 has 128 divisors (see below), whose sum is σ = 24655707707904. Its totient is φ = 2595553689600.

The previous prime is 10001010101009. The next prime is 10001010101099. The reversal of 10001010101010 is 1010101010001.

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

10001010101010 is a modest number, since divided by 10101010 gives 100010 as remainder.

It is a self number, because there is not a number n which added to its sum of digits gives 10001010101010.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50005210 + ... + 50204810.

It is an arithmetic number, because the mean of its divisors is an integer number (192622716468).

Almost surely, 210001010101010 is an apocalyptic number.

10001010101010 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 10001010101010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12327853853952).

10001010101010 is an abundant number, since it is smaller than the sum of its proper divisors (14654697606894).

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

10001010101010 is a wasteful number, since it uses less digits than its factorization.

10001010101010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199988.

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

Adding to 10001010101010 its reverse (1010101010001), we get a palindrome (11011111111011).

The spelling of 10001010101010 in words is "ten trillion, one billion, ten million, one hundred one thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 73 137 146 167 219 274 334 365 411 438 501 685 730 822 835 1002 1095 1370 1670 2055 2190 2505 4110 5010 10001 12191 20002 22879 24382 30003 36573 45758 50005 60006 60955 68637 73146 100010 114395 121910 137274 150015 182865 199601 228790 300030 343185 365730 399202 598803 686370 998005 1197606 1670167 1996010 2994015 3340334 5010501 5988030 8350835 10021002 14570873 16701670 25052505 27345337 29141746 33333367 43712619 50105010 54690674 66666734 72854365 82036011 87425238 100000101 136726685 145708730 164072022 166666835 200000202 218563095 273453370 333333670 410180055 437126190 500000505 820360110 1000001010 1996209601 2433335791 3992419202 4566671279 4866671582 5988628803 7300007373 9133342558 9981048005 11977257606 12166678955 13700013837 14600014746 19962096010 22833356395 24333357910 27400027674 29943144015 36500036865 45666712790 59886288030 68500069185 73000073730 137000138370 333367003367 666734006734 1000101010101 1666835016835 2000202020202 3333670033670 5000505050505 10001010101010