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345050201000 = 23536713139313
BaseRepresentation
bin1010000010101101001…
…10000011101110101000
31012222122010211100122002
411001112212003232220
521123130322413000
6422302555150132
733633444213251
oct5012646035650
91188563740562
10345050201000
1112337593007a
1256a58745348
13266cc26878b
14129b431bb28
158e977168d5
hex5056983ba8

345050201000 has 128 divisors (see below), whose sum is σ = 825744965760. Its totient is φ = 134918784000.

The previous prime is 345050200993. The next prime is 345050201021. The reversal of 345050201000 is 102050543.

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

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 31 ways as a sum of consecutive naturals, for example, 8757344 + ... + 8796656.

It is an arithmetic number, because the mean of its divisors is an integer number (6451132545).

Almost surely, 2345050201000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345050201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412872482880).

345050201000 is an abundant number, since it is smaller than the sum of its proper divisors (480694764760).

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

345050201000 is a wasteful number, since it uses less digits than its factorization.

345050201000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39532 (or 39518 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 345050201000 its reverse (102050543), we get a palindrome (345152251543).

The spelling of 345050201000 in words is "three hundred forty-five billion, fifty million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 131 134 200 250 262 268 335 500 524 536 655 670 1000 1048 1310 1340 1675 2620 2680 3275 3350 5240 6550 6700 8375 8777 13100 13400 16375 16750 17554 26200 32750 33500 35108 39313 43885 65500 67000 70216 78626 87770 131000 157252 175540 196565 219425 314504 351080 393130 438850 786260 877700 982825 1097125 1572520 1755400 1965650 2194250 2633971 3931300 4388500 4914125 5150003 5267942 7862600 8777000 9828250 10300006 10535884 13169855 19656500 20600012 21071768 25750015 26339710 39313000 41200024 51500030 52679420 65849275 103000060 105358840 128750075 131698550 206000120 257500150 263397100 329246375 345050201 515000300 526794200 643750375 658492750 690100402 1030000600 1287500750 1316985500 1380200804 1725251005 2575001500 2633971000 2760401608 3450502010 5150003000 6901004020 8626255025 13802008040 17252510050 34505020100 43131275125 69010040200 86262550250 172525100500 345050201000