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1001332142232 = 233791163454109
BaseRepresentation
bin11101001001001000000…
…10111111000010011000
310112201121120002021002020
432210210002333002120
5112401212012022412
62044001114534440
7132225641526432
oct16444402770230
93481546067066
101001332142232
11356731987094
12142094137420
137356b278896
1436671333652
151b0a86a518c
hexe9240bf098

1001332142232 has 64 divisors (see below), whose sum is σ = 2537203392000. Its totient is φ = 329268261504.

The previous prime is 1001332142221. The next prime is 1001332142263. The reversal of 1001332142232 is 2322412331001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1977994 + ... + 2432102.

It is an arithmetic number, because the mean of its divisors is an integer number (39643803000).

Almost surely, 21001332142232 is an apocalyptic number.

1001332142232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001332142232 is an abundant number, since it is smaller than the sum of its proper divisors (1535871249768).

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

1001332142232 is a wasteful number, since it uses less digits than its factorization.

1001332142232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455360 (or 455356 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 1001332142232 its reverse (2322412331001), we get a palindrome (3323744473233).

The spelling of 1001332142232 in words is "one trillion, one billion, three hundred thirty-two million, one hundred forty-two thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 79 158 237 316 474 632 948 1163 1896 2326 3489 4652 6978 9304 13956 27912 91877 183754 275631 367508 454109 551262 735016 908218 1102524 1362327 1816436 2205048 2724654 3632872 5449308 10898616 35874611 71749222 107623833 143498444 215247666 286996888 430495332 528128767 860990664 1056257534 1584386301 2112515068 3168772602 4225030136 6337545204 12675090408 41722172593 83444345186 125166517779 166888690372 250333035558 333777380744 500666071116 1001332142232