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142121122130200 = 235211316933714439
BaseRepresentation
bin100000010100001000100110…
…111111111110100100011000
3200122012122110100202010022111
4200110020212333332210120
5122112003024231131300
61222133313035402104
741635624615643143
oct4024104677764430
9618178410663274
10142121122130200
1141314258397184
1213b340382b3334
13613bc6c78a9a5
1427149b014305a
151166d6ac279ba
hex814226ffe918

142121122130200 has 96 divisors (see below), whose sum is σ = 333552774693600. Its totient is φ = 56312068700160.

The previous prime is 142121122130191. The next prime is 142121122130201. The reversal of 142121122130200 is 2031221121241.

142121122130200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142121122130201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36404581 + ... + 40119019.

It is an arithmetic number, because the mean of its divisors is an integer number (3474508069725).

Almost surely, 2142121122130200 is an apocalyptic number.

142121122130200 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 142121122130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166776387346800).

142121122130200 is an abundant number, since it is smaller than the sum of its proper divisors (191431652563400).

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

142121122130200 is a wasteful number, since it uses less digits than its factorization.

142121122130200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3716261 (or 3716252 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 142121122130200 its reverse (2031221121241), we get a palindrome (144152343251441).

The spelling of 142121122130200 in words is "one hundred forty-two trillion, one hundred twenty-one billion, one hundred twenty-two million, one hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 200 226 452 565 904 1130 1693 2260 2825 3386 4520 5650 6772 8465 11300 13544 16930 22600 33860 42325 67720 84650 169300 191309 338600 382618 765236 956545 1530472 1913090 3714439 3826180 4782725 7428878 7652360 9565450 14857756 18572195 19130900 29715512 37144390 38261800 74288780 92860975 148577560 185721950 371443900 419731607 742887800 839463214 1678926428 2098658035 3357852856 4197316070 6288545227 8394632140 10493290175 12577090454 16789264280 20986580350 25154180908 31442726135 41973160700 50308361816 62885452270 83946321400 125770904540 157213630675 251541809080 314427261350 628854522700 710605610651 1257709045400 1421211221302 2842422442604 3553028053255 5684844885208 7106056106510 14212112213020 17765140266275 28424224426040 35530280532550 71060561065100 142121122130200