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1033011413112 = 2337401144710597
BaseRepresentation
bin11110000100001000100…
…01110100000001111000
310122202101100012222001010
433002010101310001320
5113411101410204422
62110320415353520
7134426662063650
oct17020421640170
93582340188033
101033011413112
11369109015198
121482555228a0
137654950cc93
1437dd87c9360
151bd0e93ab0c
hexf084474078

1033011413112 has 128 divisors (see below), whose sum is σ = 2961145635840. Its totient is φ = 294178867200.

The previous prime is 1033011413059. The next prime is 1033011413153. The reversal of 1033011413112 is 2113141103301.

It is a super-2 number, since 2×10330114131122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 97476198 + ... + 97486794.

It is an arithmetic number, because the mean of its divisors is an integer number (23133950280).

Almost surely, 21033011413112 is an apocalyptic number.

1033011413112 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 1033011413112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480572817920).

1033011413112 is an abundant number, since it is smaller than the sum of its proper divisors (1928134222728).

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

1033011413112 is a wasteful number, since it uses less digits than its factorization.

1033011413112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12461 (or 12457 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 1033011413112 its reverse (2113141103301), we get a palindrome (3146152516413).

The spelling of 1033011413112 in words is "one trillion, thirty-three billion, eleven million, four hundred thirteen thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 401 802 1203 1447 1604 2406 2807 2894 3208 4341 4812 5614 5788 8421 8682 9624 10129 10597 11228 11576 16842 17364 20258 21194 22456 30387 31791 33684 34728 40516 42388 60774 63582 67368 74179 81032 84776 121548 127164 148358 222537 243096 254328 296716 445074 580247 593432 890148 1160494 1740741 1780296 2320988 3481482 4061729 4249397 4641976 6962964 8123458 8498794 12185187 12748191 13925928 15333859 16246916 16997588 24370374 25496382 29745779 30667718 32493832 33995176 46001577 48740748 50992764 59491558 61335436 89237337 92003154 97481496 101985528 107337013 118983116 122670872 178474674 184006308 214674026 237966232 322011039 356949348 368012616 429348052 644022078 713898696 858696104 1288044156 2576088312 6148877459 12297754918 18446632377 24595509836 36893264754 43042142213 49191019672 73786529508 86084284426 129126426639 147573059016 172168568852 258252853278 344337137704 516505706556 1033011413112