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1031332311020 = 2251147791262557
BaseRepresentation
bin11110000001000000011…
…00100010111111101100
310122121001022200201222202
433000200030202333230
5113344132032423040
62105442034401032
7134340243000404
oct17004014427754
93577038621882
101031332311020
11368427225a10
12147a67130178
137633c69c74b
1437cb97c3804
151bc62314015
hexf020322fec

1031332311020 has 96 divisors (see below), whose sum is σ = 2443504250880. Its totient is φ = 362404074240.

The previous prime is 1031332311013. The next prime is 1031332311041. The reversal of 1031332311020 is 201132331301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1031332310983 and 1031332311001.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 185582 + ... + 1448138.

It is an arithmetic number, because the mean of its divisors is an integer number (25453169280).

Almost surely, 21031332311020 is an apocalyptic number.

1031332311020 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 1031332311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1221752125440).

1031332311020 is an abundant number, since it is smaller than the sum of its proper divisors (1412171939860).

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

1031332311020 is a wasteful number, since it uses less digits than its factorization.

1031332311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1262703 (or 1262701 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 1031332311020 its reverse (201132331301), we get a palindrome (1232464642321).

The spelling of 1031332311020 in words is "one trillion, thirty-one billion, three hundred thirty-two million, three hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 79 94 110 158 188 220 235 316 395 470 517 790 869 940 1034 1580 1738 2068 2585 3476 3713 4345 5170 7426 8690 10340 14852 17380 18565 37130 40843 74260 81686 163372 204215 408430 816860 1262557 2525114 5050228 6312785 12625570 13888127 25251140 27776254 55552508 59340179 69440635 99742003 118680358 138881270 199484006 237360716 277762540 296700895 398968012 498710015 593401790 652741969 997420030 1097162033 1186803580 1305483938 1994840060 2194324066 2610967876 3263709845 4388648132 4687874141 5485810165 6527419690 9375748282 10971620330 13054839380 18751496564 21943240660 23439370705 46878741410 51566615551 93757482820 103133231102 206266462204 257833077755 515666155510 1031332311020