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101003013210110 = 251119118874065517
BaseRepresentation
bin10110111101110010011000…
…101110010011111111111110
3111020121210102122121212222012
4112331302120232103333332
5101214313132340210420
6554452051012451222
730163140552563354
oct2675623056237776
9436553378555865
10101003013210110
112a2011568a5460
12b3b3088919b12
13444870a76ca3b
141ad28014dd7d4
15ba24c0838dc5
hex5bdc98b93ffe

101003013210110 has 64 divisors (see below), whose sum is σ = 208789392890880. Its totient is φ = 34792360686720.

The previous prime is 101003013210079. The next prime is 101003013210119. The reversal of 101003013210110 is 11012310300101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101003013210119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22811072 + ... + 26876588.

It is an arithmetic number, because the mean of its divisors is an integer number (3262334263920).

Almost surely, 2101003013210110 is an apocalyptic number.

101003013210110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

101003013210110 is an abundant number, since it is smaller than the sum of its proper divisors (107786379680770).

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

101003013210110 is a wasteful number, since it uses less digits than its factorization.

101003013210110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4077441.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 101003013210110 its reverse (11012310300101), we get a palindrome (112015323510211).

The spelling of 101003013210110 in words is "one hundred one trillion, three billion, thirteen million, two hundred ten thousand, one hundred ten".

Divisors: 1 2 5 10 11 19 22 38 55 95 110 190 209 418 1045 2090 11887 23774 59435 118870 130757 225853 261514 451706 653785 1129265 1307570 2258530 2484383 4065517 4968766 8131034 12421915 20327585 24843830 40655170 44720687 77244823 89441374 154489646 223603435 386224115 447206870 772448230 849693053 1699386106 4248465265 8496930530 48326800579 96653601158 241634002895 483268005790 531594806369 918209211001 1063189612738 1836418422002 2657974031845 4591046055005 5315948063690 9182092110010 10100301321011 20200602642022 50501506605055 101003013210110