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1110300133332 = 2231338922378179
BaseRepresentation
bin10000001010000011000…
…010111000011111010100
310221010212201120202101110
4100022003002320133110
5121142343313231312
62210022001055020
7143134162262535
oct20120302703724
93833781522343
101110300133332
1139896a530685
1215b225327470
1380915a0c120
143ba4b43668c
151dd34d9743c
hex102830b87d4

1110300133332 has 96 divisors (see below), whose sum is σ = 2798749699200. Its totient is φ = 340558612992.

The previous prime is 1110300133331. The next prime is 1110300133351. The reversal of 1110300133332 is 2333310030111.

It is a junction number, because it is equal to n+sod(n) for n = 1110300133299 and 1110300133308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110300133331) 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, 135746019 + ... + 135754197.

It is an arithmetic number, because the mean of its divisors is an integer number (29153642700).

Almost surely, 21110300133332 is an apocalyptic number.

1110300133332 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 1110300133332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1399374849600).

1110300133332 is an abundant number, since it is smaller than the sum of its proper divisors (1688449565868).

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

1110300133332 is a wasteful number, since it uses less digits than its factorization.

1110300133332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10825 (or 10823 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 1110300133332 its reverse (2333310030111), we get a palindrome (3443610163443).

The spelling of 1110300133332 in words is "one trillion, one hundred ten billion, three hundred million, one hundred thirty-three thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 389 778 1167 1556 2237 2334 4474 4668 5057 6711 8179 8948 10114 13422 15171 16358 20228 24537 26844 29081 30342 32716 49074 58162 60684 87243 98148 106327 116324 174486 212654 318981 348972 425308 637962 870193 1275924 1740386 2610579 3181631 3480772 5221158 6363262 9544893 10442316 11312509 12726524 18296423 19089786 22625018 33937527 36592846 38179572 41361203 45250036 54889269 67875054 73185692 82722406 109778538 124083609 135750108 165444812 219557076 237853499 248167218 475706998 496334436 713560497 951413996 1427120994 2854241988 7117308547 14234617094 21351925641 28469234188 42703851282 85407702564 92525011111 185050022222 277575033333 370100044444 555150066666 1110300133332