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1101302010312 = 2337591091019339
BaseRepresentation
bin10000000001101010101…
…101110001000111001000
310220021122122000202002220
4100001222231301013020
5121020431303312222
62201533044054040
7142365201426660
oct20015255610710
93807578022086
101101302010312
11395072301679
12159533994320
137cb1076828a
143b43638d1a0
151d9a9e3bb5c
hex1006ab711c8

1101302010312 has 128 divisors (see below), whose sum is σ = 3229269120000. Its totient is φ = 306486395136.

The previous prime is 1101302010311. The next prime is 1101302010329. The reversal of 1101302010312 is 2130102031011.

It is a happy number.

It is a super-2 number, since 2×11013020103122 (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1101302010291 and 1101302010300.

It is not an unprimeable number, because it can be changed into a prime (1101302010311) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 570739 + ... + 1590077.

It is an arithmetic number, because the mean of its divisors is an integer number (25228665000).

Almost surely, 21101302010312 is an apocalyptic number.

1101302010312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101302010312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1614634560000).

1101302010312 is an abundant number, since it is smaller than the sum of its proper divisors (2127967109688).

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

1101302010312 is a wasteful number, since it uses less digits than its factorization.

1101302010312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1019523 (or 1019519 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1101302010312 its reverse (2130102031011), we get a palindrome (3231404041323).

The spelling of 1101302010312 in words is "one trillion, one hundred one billion, three hundred two million, ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 59 84 109 118 168 177 218 236 327 354 413 436 472 654 708 763 826 872 1239 1308 1416 1526 1652 2289 2478 2616 3052 3304 4578 4956 6104 6431 9156 9912 12862 18312 19293 25724 38586 45017 51448 77172 90034 135051 154344 180068 270102 360136 540204 1019339 1080408 2038678 3058017 4077356 6116034 7135373 8154712 12232068 14270746 21406119 24464136 28541492 42812238 57082984 60141001 85624476 111107951 120282002 171248952 180423003 222215902 240564004 333323853 360846006 420987007 444431804 481128008 666647706 721692012 777755657 841974014 888863608 1262961021 1333295412 1443384024 1555511314 1683948028 2333266971 2525922042 2666590824 3111022628 3367896056 4666533942 5051844084 6222045256 6555369109 9333067884 10103688168 13110738218 18666135768 19666107327 26221476436 39332214654 45887583763 52442952872 78664429308 91775167526 137662751289 157328858616 183550335052 275325502578 367100670104 550651005156 1101302010312