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1010203131096 = 233243412779063
BaseRepresentation
bin11101011001101001100…
…11000111110011011000
310120120111210102012002100
432230310303013303120
5113022344000143341
62052025251003400
7132661526635635
oct16546463076330
93516453365070
101010203131096
1135a474371345
1214394ab99560
1374353098513
1436c7356518c
151b42739b3b6
hexeb34cc7cd8

1010203131096 has 96 divisors (see below), whose sum is σ = 2800307727360. Its totient is φ = 328819490496.

The previous prime is 1010203131089. The next prime is 1010203131097. The reversal of 1010203131096 is 6901313020101.

It is a super-2 number, since 2×10102031310962 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010203131097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12737661 + ... + 12816723.

It is an arithmetic number, because the mean of its divisors is an integer number (29169872160).

Almost surely, 21010203131096 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 1010203131096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1400153863680).

1010203131096 is an abundant number, since it is smaller than the sum of its proper divisors (1790104596264).

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

1010203131096 is a wasteful number, since it uses less digits than its factorization.

1010203131096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83245 (or 83238 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

Adding to 1010203131096 its reverse (6901313020101), we get a palindrome (7911516151197).

The spelling of 1010203131096 in words is "one trillion, ten billion, two hundred three million, one hundred thirty-one thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 43 72 86 129 172 258 344 387 516 774 1032 1548 3096 4127 8254 12381 16508 24762 33016 37143 49524 74286 79063 99048 148572 158126 177461 237189 297144 316252 354922 474378 532383 632504 709844 711567 948756 1064766 1419688 1423134 1597149 1897512 2129532 2846268 3194298 3399709 4259064 5692536 6388596 6799418 10199127 12777192 13598836 20398254 27197672 30597381 40796508 61194762 81593016 122389524 244779048 326293001 652586002 978879003 1305172004 1957758006 2610344008 2936637009 3915516012 5873274018 7831032024 11746548036 14030599043 23493096072 28061198086 42091797129 56122396172 84183594258 112244792344 126275391387 168367188516 252550782774 336734377032 505101565548 1010203131096