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1132320003100 = 22521113167474151
BaseRepresentation
bin10000011110100011100…
…010000001010000011100
311000020201022212001001121
4100132203202001100130
5122022442410044400
62224103003220324
7144543642135556
oct20364342012034
94006638761047
101132320003100
113a723a138760
1216354b8176a4
1382a149ca170
143cb39aaa4d6
151e6c30ed21a
hex107a388141c

1132320003100 has 144 divisors (see below), whose sum is σ = 2903995132416. Its totient is φ = 377802720000.

The previous prime is 1132320003097. The next prime is 1132320003131. The reversal of 1132320003100 is 13000232311.

It is a super-2 number, since 2×11323200031002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2151025 + ... + 2625175.

It is an arithmetic number, because the mean of its divisors is an integer number (20166632864).

Almost surely, 21132320003100 is an apocalyptic number.

1132320003100 is a gapful number since it is divisible by the number (10) 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 1132320003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1451997566208).

1132320003100 is an abundant number, since it is smaller than the sum of its proper divisors (1771675129316).

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

1132320003100 is a wasteful number, since it uses less digits than its factorization.

1132320003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474356 (or 474349 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1132320003100 its reverse (13000232311), we get a palindrome (1145320235411).

The spelling of 1132320003100 in words is "one trillion, one hundred thirty-two billion, three hundred twenty million, three thousand, one hundred".

Divisors: 1 2 4 5 10 11 13 20 22 25 26 44 50 52 55 65 100 110 130 143 167 220 260 275 286 325 334 550 572 650 668 715 835 1100 1300 1430 1670 1837 2171 2860 3340 3575 3674 4175 4342 7150 7348 8350 8684 9185 10855 14300 16700 18370 21710 23881 36740 43420 45925 47762 54275 91850 95524 108550 119405 183700 217100 238810 474151 477620 597025 948302 1194050 1896604 2370755 2388100 4741510 5215661 6163963 9483020 10431322 11853775 12327926 20862644 23707550 24655852 26078305 30819815 47415100 52156610 61639630 67803593 79183217 104313220 123279260 130391525 135607186 154099075 158366434 260783050 271214372 308198150 316732868 339017965 395916085 521566100 616396300 678035930 791832170 871015387 1029381821 1356071860 1583664340 1695089825 1742030774 1979580425 2058763642 3390179650 3484061548 3959160850 4117527284 4355076935 5146909105 6780359300 7918321700 8710153870 10293818210 11323200031 17420307740 20587636420 21775384675 22646400062 25734545525 43550769350 45292800124 51469091050 56616000155 87101538700 102938182100 113232000310 226464000620 283080000775 566160001550 1132320003100