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203420013101000 = 2353192563490341
BaseRepresentation
bin101110010000001001101001…
…100111101111111111001000
3222200020202121110122120110022
4232100021221213233333020
5203130313141323213000
62000345510335240012
760563416362113063
oct5620115147577710
9880222543576408
10203420013101000
11598a7a41279413
121a9941b2979008
13896756a740bc7
14383381ca158da
15187b64c184585
hexb902699effc8

203420013101000 has 96 divisors (see below), whose sum is σ = 502374179506680. Its totient is φ = 77085478512000.

The previous prime is 203420013100987. The next prime is 203420013101017. The reversal of 203420013101000 is 101310024302.

It can be written as a sum of positive squares in 4 ways, for example, as 107756316569476 + 95663696531524 = 10380574^2 + 9780782^2 .

It is a super-2 number, since 2×2034200131010002 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 203420013101000.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 281384171 + ... + 282106170.

Almost surely, 2203420013101000 is an apocalyptic number.

203420013101000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203420013101000 is an abundant number, since it is smaller than the sum of its proper divisors (298954166405680).

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

203420013101000 is a wasteful number, since it uses less digits than its factorization.

203420013101000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 563490400 (or 563490367 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 203420013101000 its reverse (101310024302), we get a palindrome (203521323125302).

The spelling of 203420013101000 in words is "two hundred three trillion, four hundred twenty billion, thirteen million, one hundred one thousand".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 100 125 152 190 200 250 361 380 475 500 722 760 950 1000 1444 1805 1900 2375 2888 3610 3800 4750 7220 9025 9500 14440 18050 19000 36100 45125 72200 90250 180500 361000 563490341 1126980682 2253961364 2817451705 4507922728 5634903410 10706316479 11269806820 14087258525 21412632958 22539613640 28174517050 42825265916 53531582395 56349034100 70436292625 85650531832 107063164790 112698068200 140872585250 203420013101 214126329580 267657911975 281745170500 406840026202 428252659160 535315823950 563490341000 813680052404 1017100065505 1070631647900 1338289559875 1627360104808 2034200131010 2141263295800 2676579119750 4068400262020 5085500327525 5353158239500 8136800524040 10171000655050 10706316479000 20342001310100 25427501637625 40684002620200 50855003275250 101710006550500 203420013101000