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1003242332232 = 23337976840413
BaseRepresentation
bin11101001100101011110…
…01110010000001001000
310112220112200102222011000
432212111321302001020
5112414120014112412
62044514432535000
7132324165056460
oct16462571620110
93486480388130
101003242332232
11357522162108
121425279b1460
13737b3c3961a
14367b2cd0ba0
151b16b2274dc
hexe995e72048

1003242332232 has 128 divisors (see below), whose sum is σ = 3217730745600. Its totient is φ = 283685566464.

The previous prime is 1003242332189. The next prime is 1003242332233. The reversal of 1003242332232 is 2322332423001.

1003242332232 is a `hidden beast` number, since 1 + 0 + 0 + 3 + 2 + 423 + 3 + 2 + 232 = 666.

It is a super-2 number, since 2×10032423322322 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 1003242332196 and 1003242332205.

It is not an unprimeable number, because it can be changed into a prime (1003242332233) 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, 3273543 + ... + 3566870.

It is an arithmetic number, because the mean of its divisors is an integer number (25138521450).

Almost surely, 21003242332232 is an apocalyptic number.

1003242332232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1003242332232 is an abundant number, since it is smaller than the sum of its proper divisors (2214488413368).

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

1003242332232 is a wasteful number, since it uses less digits than its factorization.

1003242332232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6840532 (or 6840522 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 1003242332232 its reverse (2322332423001), we get a palindrome (3325574755233).

The spelling of 1003242332232 in words is "one trillion, three billion, two hundred forty-two million, three hundred thirty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 97 108 126 168 189 194 216 252 291 378 388 504 582 679 756 776 873 1164 1358 1512 1746 2037 2328 2619 2716 3492 4074 5238 5432 6111 6984 8148 10476 12222 16296 18333 20952 24444 36666 48888 73332 146664 6840413 13680826 20521239 27361652 41042478 47882891 54723304 61563717 82084956 95765782 123127434 143648673 164169912 184691151 191531564 246254868 287297346 369382302 383063128 430946019 492509736 574594692 663520061 738764604 861892038 1149189384 1292838057 1327040122 1477529208 1723784076 1990560183 2585676114 2654080244 3447568152 3981120366 4644640427 5171352228 5308160488 5971680549 7962240732 9289280854 10342704456 11943361098 13933921281 15924481464 17915041647 18578561708 23886722196 27867842562 35830083294 37157123416 41801763843 47773444392 55735685124 71660166588 83603527686 111471370248 125405291529 143320333176 167207055372 250810583058 334414110744 501621166116 1003242332232