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1332304001000 = 23537759125073
BaseRepresentation
bin10011011000110011100…
…000011011011111101000
311201100220120000201210122
4103120303200123133220
5133312024311013000
62500015122302412
7165153510104330
oct23306340333750
94640816021718
101332304001000
1147403296a285
12196261ab7a08
139883590582b
14486ab9c40c0
15249c9e61085
hex1363381b7e8

1332304001000 has 128 divisors (see below), whose sum is σ = 3563573045760. Its totient is φ = 456711552000.

The previous prime is 1332304000997. The next prime is 1332304001029. The reversal of 1332304001000 is 1004032331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1332304001000.

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, 53124464 + ... + 53149536.

It is an arithmetic number, because the mean of its divisors is an integer number (27840414420).

Almost surely, 21332304001000 is an apocalyptic number.

1332304001000 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 1332304001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1781786522880).

1332304001000 is an abundant number, since it is smaller than the sum of its proper divisors (2231269044760).

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

1332304001000 is a wasteful number, since it uses less digits than its factorization.

1332304001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32692 (or 32678 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 1332304001000 its reverse (1004032331), we get a palindrome (1333308033331).

The spelling of 1332304001000 in words is "one trillion, three hundred thirty-two billion, three hundred four million, one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 7000 7591 15182 25073 30364 37955 50146 53137 60728 75910 100292 106274 125365 151820 175511 189775 200584 212548 250730 265685 303640 351022 379550 425096 501460 531370 626825 702044 759100 877555 948875 1002920 1062740 1253650 1328425 1404088 1518200 1755110 1897750 2125480 2507300 2656850 3134125 3510220 3795500 4387775 5014600 5313700 6268250 6642125 7020440 7591000 8775550 10627400 12536500 13284250 17551100 21938875 25073000 26568500 35102200 43877750 53137000 87755500 175511000 190329143 380658286 761316572 951645715 1332304001 1522633144 1903291430 2664608002 3806582860 4758228575 5329216004 6661520005 7613165720 9516457150 10658432008 13323040010 19032914300 23791142875 26646080020 33307600025 38065828600 47582285750 53292160040 66615200050 95164571500 133230400100 166538000125 190329143000 266460800200 333076000250 666152000500 1332304001000