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230122331202000 = 2435338353721867
BaseRepresentation
bin110100010100101110000111…
…110011100110000111010000
31010011210110221221001202111210
4310110232013303212013100
5220130311013241431000
62133232423422540120
766320534615043516
oct6424560763460720
91104713857052453
10230122331202000
1167362372761046
12219872bb137640
139b5359a863753
1440b7da1b884b6
151b91023805350
hexd14b87ce61d0

230122331202000 has 80 divisors (see below), whose sum is σ = 741914395814592. Its totient is φ = 61365954985600.

The previous prime is 230122331201969. The next prime is 230122331202061. The reversal of 230122331202000 is 202133221032.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 19176854934 + ... + 19176866933.

Almost surely, 2230122331202000 is an apocalyptic number.

230122331202000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

230122331202000 is an abundant number, since it is smaller than the sum of its proper divisors (511792064612592).

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

230122331202000 is a wasteful number, since it uses less digits than its factorization.

230122331202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38353721893 (or 38353721877 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 230122331202000 its reverse (202133221032), we get a palindrome (230324464423032).

The spelling of 230122331202000 in words is "two hundred thirty trillion, one hundred twenty-two billion, three hundred thirty-one million, two hundred two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 38353721867 76707443734 115061165601 153414887468 191768609335 230122331202 306829774936 383537218670 460244662404 575305828005 613659549872 767074437340 920489324808 958843046675 1150611656010 1534148874680 1840978649616 1917686093350 2301223312020 2876529140025 3068297749360 3835372186700 4602446624040 4794215233375 5753058280050 7670744373400 9204893248080 9588430466750 11506116560100 14382645700125 15341488746800 19176860933500 23012233120200 28765291400250 38353721867000 46024466240400 57530582800500 76707443734000 115061165601000 230122331202000