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1103412411030 = 2354113719134283
BaseRepresentation
bin10000000011101000100…
…000010011101010010110
310220111002201010012122110
4100003220200103222112
5121034242034123110
62202522313211450
7142501405512516
oct20035040235226
93814081105573
101103412411030
11395a555a39a6
12159a22700b86
1380088a581b7
143b596785846
151da8035aa20
hex100e8813a96

1103412411030 has 128 divisors (see below), whose sum is σ = 2746967924736. Its totient is φ = 283471001600.

The previous prime is 1103412411001. The next prime is 1103412411067. The reversal of 1103412411030 is 301142143011.

It is a junction number, because it is equal to n+sod(n) for n = 1103412410988 and 1103412411006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 32168269 + ... + 32202551.

It is an arithmetic number, because the mean of its divisors is an integer number (21460686912).

Almost surely, 21103412411030 is an apocalyptic number.

1103412411030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1103412411030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1373483962368).

1103412411030 is an abundant number, since it is smaller than the sum of its proper divisors (1643555513706).

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

1103412411030 is a wasteful number, since it uses less digits than its factorization.

1103412411030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34662.

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1103412411030 its reverse (301142143011), we get a palindrome (1404554554041).

The spelling of 1103412411030 in words is "one trillion, one hundred three billion, four hundred twelve million, four hundred eleven thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 41 82 123 137 191 205 246 274 382 410 411 573 615 685 822 955 1146 1230 1370 1910 2055 2865 4110 5617 5730 7831 11234 15662 16851 23493 26167 28085 33702 34283 39155 46986 52334 56170 68566 78310 78501 84255 102849 117465 130835 157002 168510 171415 205698 234930 261670 342830 392505 514245 785010 1028490 1072847 1405603 2145694 2811206 3218541 4216809 4696771 5364235 6437082 6548053 7028015 8433618 9393542 10728470 13096106 14056030 14090313 16092705 19644159 21084045 23483855 28180626 32185410 32740265 39288318 42168090 46967710 65480530 70451565 98220795 140903130 192567611 196441590 268470173 385135222 536940346 577702833 805410519 897083261 962838055 1155405666 1342350865 1610821038 1794166522 1925676110 2684701730 2691249783 2888514165 4027052595 4485416305 5382499566 5777028330 8054105190 8970832610 13456248915 26912497830 36780413701 73560827402 110341241103 183902068505 220682482206 367804137010 551706205515 1103412411030