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1030312211320 = 235761193312553
BaseRepresentation
bin11101111111000110110…
…01001011001101111000
310122111102020012022021101
432333203121023031320
5113340034411230240
62105152514221144
7134303045203660
oct16774331131570
93574366168241
101030312211320
11367a53423a07
121478215847b4
1376209245962
1437c201231a0
151bc029b239a
hexefe364b378

1030312211320 has 128 divisors (see below), whose sum is σ = 2706767648640. Its totient is φ = 345657507840.

The previous prime is 1030312211153. The next prime is 1030312211321. The reversal of 1030312211320 is 231122130301.

It is a super-2 number, since 2×10303122113202 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1030312211321) 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, 3140164 + ... + 3452716.

It is an arithmetic number, because the mean of its divisors is an integer number (21146622255).

Almost surely, 21030312211320 is an apocalyptic number.

1030312211320 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 1030312211320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1353383824320).

1030312211320 is an abundant number, since it is smaller than the sum of its proper divisors (1676455437320).

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

1030312211320 is a wasteful number, since it uses less digits than its factorization.

1030312211320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 312825 (or 312821 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 1030312211320 its reverse (231122130301), we get a palindrome (1261434341621).

The spelling of 1030312211320 in words is "one trillion, thirty billion, three hundred twelve million, two hundred eleven thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 61 70 122 140 193 244 280 305 386 427 488 610 772 854 965 1220 1351 1544 1708 1930 2135 2440 2702 3416 3860 4270 5404 6755 7720 8540 10808 11773 13510 17080 23546 27020 47092 54040 58865 82411 94184 117730 164822 235460 312553 329644 412055 470920 625106 659288 824110 1250212 1562765 1648220 2187871 2500424 3125530 3296440 4375742 6251060 8751484 10939355 12502120 17502968 19065733 21878710 38131466 43757420 60322729 76262932 87514840 95328665 120645458 133460131 152525864 190657330 241290916 266920262 301613645 381314660 422259103 482581832 533840524 603227290 667300655 762629320 844518206 1067681048 1206454580 1334601310 1689036412 2111295515 2412909160 2669202620 3378072824 3679686469 4222591030 5338405240 7359372938 8445182060 14718745876 16890364120 18398432345 25757805283 29437491752 36796864690 51515610566 73593729380 103031221132 128789026415 147187458760 206062442264 257578052830 515156105660 1030312211320