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10203111144 = 23322314941351
BaseRepresentation
bin10011000000010011…
…10001111011101000
3222100001221202020100
421200021301323220
5131343444024034
64404240025400
7510562004502
oct114011617350
928301852210
1010203111144
114366432466
121b89002260
13c67ac3895
146cb114d72
153eab2e099
hex260271ee8

10203111144 has 96 divisors (see below), whose sum is σ = 29029104000. Its totient is φ = 3231254400.

The previous prime is 10203111109. The next prime is 10203111179. The reversal of 10203111144 is 44111130201.

It is an interprime number because it is at equal distance from previous prime (10203111109) and next prime (10203111179).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 226069 + ... + 267419.

It is an arithmetic number, because the mean of its divisors is an integer number (302386500).

Almost surely, 210203111144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10203111144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14514552000).

10203111144 is an abundant number, since it is smaller than the sum of its proper divisors (18825992856).

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

10203111144 is a wasteful number, since it uses less digits than its factorization.

10203111144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41535 (or 41528 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 10203111144 its reverse (44111130201), we get a palindrome (54314241345).

The spelling of 10203111144 in words is "ten billion, two hundred three million, one hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 138 149 184 207 276 298 414 447 552 596 828 894 1192 1341 1656 1788 2682 3427 3576 5364 6854 10281 10728 13708 20562 27416 30843 41124 41351 61686 82248 82702 123372 124053 165404 246744 248106 330808 372159 496212 744318 951073 992424 1488636 1902146 2853219 2977272 3804292 5706438 6161299 7608584 8559657 11412876 12322598 17119314 18483897 22825752 24645196 34238628 36967794 49290392 55451691 68477256 73935588 110903382 141709877 147871176 221806764 283419754 425129631 443613528 566839508 850259262 1133679016 1275388893 1700518524 2550777786 3401037048 5101555572 10203111144