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1030515131988 = 2232372177335533
BaseRepresentation
bin11101111111011110111…
…11010000011001010100
310122111221101000202002200
432333233133100121110
5113340443333210423
62105225003404500
7134311061044266
oct16775737203124
93574841022080
101030515131988
11368047a21241
12147879523730
137623c2b3464
1437c3d065b36
151bc156e6d43
hexefef7d0654

1030515131988 has 72 divisors (see below), whose sum is σ = 2675514478728. Its totient is φ = 334196368128.

The previous prime is 1030515131983. The next prime is 1030515131999. The reversal of 1030515131988 is 8891315150301.

1030515131988 is a `hidden beast` number, since 1 + 0 + 3 + 0 + 51 + 513 + 1 + 9 + 88 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17811037764 + 1012704094224 = 133458^2 + 1006332^2 .

It is a super-2 number, since 2×10305151319882 (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 (1030515131981) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28983870 + ... + 29019402.

Almost surely, 21030515131988 is an apocalyptic number.

1030515131988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1030515131988 is an abundant number, since it is smaller than the sum of its proper divisors (1644999346740).

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

1030515131988 is a wasteful number, since it uses less digits than its factorization.

1030515131988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57353 (or 57348 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 45.

The spelling of 1030515131988 in words is "one trillion, thirty billion, five hundred fifteen million, one hundred thirty-one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 222 333 444 666 1332 21773 35533 43546 65319 71066 87092 106599 130638 142132 195957 213198 261276 319797 391914 426396 639594 783828 805601 1279188 1314721 1611202 2416803 2629442 3222404 3944163 4833606 5258884 7250409 7888326 9667212 11832489 14500818 15776652 23664978 29001636 47329956 773660009 1547320018 2320980027 3094640036 4641960054 6962940081 9283920108 13925880162 27851760324 28625420333 57250840666 85876260999 114501681332 171752521998 257628782997 343505043996 515257565994 1030515131988