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1013221343000 = 23532942118297
BaseRepresentation
bin11101011111010001011…
…00101011111100011000
310120212022010201020110102
432233220230223330120
5113100034130434000
62053244545434532
7133126366212356
oct16575054537430
93525263636412
101013221343000
11360783040649
1214445193ba48
1374714488319
143707c34c7d6
151b55233b3d5
hexebe8b2bf18

1013221343000 has 128 divisors (see below), whose sum is σ = 2453572555200. Its totient is φ = 391172992000.

The previous prime is 1013221342993. The next prime is 1013221343009. The reversal of 1013221343000 is 3431223101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013221343009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 122114852 + ... + 122123148.

Almost surely, 21013221343000 is an apocalyptic number.

1013221343000 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 1013221343000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226786277600).

1013221343000 is an abundant number, since it is smaller than the sum of its proper divisors (1440351212200).

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

1013221343000 is a wasteful number, since it uses less digits than its factorization.

1013221343000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12558 (or 12544 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1013221343000 its reverse (3431223101), we get a palindrome (1016652566101).

The spelling of 1013221343000 in words is "one trillion, thirteen billion, two hundred twenty-one million, three hundred forty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 29 40 50 58 100 116 125 145 200 232 250 290 500 580 725 1000 1160 1450 2900 3625 4211 5800 7250 8297 8422 14500 16594 16844 21055 29000 33188 33688 41485 42110 66376 82970 84220 105275 122119 165940 168440 207425 210550 240613 244238 331880 414850 421100 481226 488476 526375 610595 829700 842200 962452 976952 1037125 1052750 1203065 1221190 1659400 1924904 2074250 2105500 2406130 2442380 3052975 4148500 4211000 4812260 4884760 6015325 6105950 8297000 9624520 12030650 12211900 15264875 24061300 24423800 30076625 30529750 34938667 48122600 60153250 61059500 69877334 120306500 122119000 139754668 174693335 240613000 279509336 349386670 698773340 873466675 1013221343 1397546680 1746933350 2026442686 3493866700 4052885372 4367333375 5066106715 6987733400 8105770744 8734666750 10132213430 17469333500 20264426860 25330533575 34938667000 40528853720 50661067150 101322134300 126652667875 202644268600 253305335750 506610671500 1013221343000