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1020332012220 = 2232519129678069
BaseRepresentation
bin11101101100100001000…
…01101111001010111100
310121112122200200122212200
432312100201233022330
5113204114443342340
62100422320031500
7133500531001413
oct16662041571274
93545580618780
101020332012220
113637a1903684
121458b7162590
13752a869c0c1
143755487647a
151b81b716330
hexed9086f2bc

1020332012220 has 72 divisors (see below), whose sum is σ = 3111211434240. Its totient is φ = 270663980160.

The previous prime is 1020332012213. The next prime is 1020332012237. The reversal of 1020332012220 is 222102330201.

1020332012220 is a `hidden beast` number, since 1 + 0 + 203 + 320 + 122 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1020332012193 and 1020332012202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14804655 + ... + 14873414.

It is an arithmetic number, because the mean of its divisors is an integer number (43211269920).

Almost surely, 21020332012220 is an apocalyptic number.

1020332012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020332012220 is an abundant number, since it is smaller than the sum of its proper divisors (2090879422020).

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

1020332012220 is a wasteful number, since it uses less digits than its factorization.

1020332012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29678275 (or 29678270 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 1020332012220 its reverse (222102330201), we get a palindrome (1242434342421).

The spelling of 1020332012220 in words is "one trillion, twenty billion, three hundred thirty-two million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 191 382 573 764 955 1146 1719 1910 2292 2865 3438 3820 5730 6876 8595 11460 17190 34380 29678069 59356138 89034207 118712276 148390345 178068414 267102621 296780690 356136828 445171035 534205242 593561380 890342070 1068410484 1335513105 1780684140 2671026210 5342052420 5668511179 11337022358 17005533537 22674044716 28342555895 34011067074 51016600611 56685111790 68022134148 85027667685 102033201222 113370223580 170055335370 204066402444 255083003055 340110670740 510166006110 1020332012220