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321420310413400 = 235211146100141097
BaseRepresentation
bin100100100010101000111111…
…1011011010000000001011000
31120011001111000002000210101001
41021011101333123100001120
5314112122243431212100
63055334241355434344
7124462564633026202
oct11105217733200130
91504044002023331
10321420310413400
11934616518aaa70
12300714ab7559b4
1310a46a610a2bc3
145952b7c8a9772
152725d2e989d6a
hex124547f6d0058

321420310413400 has 48 divisors (see below), whose sum is σ = 815238787326840. Its totient is φ = 116880112876800.

The previous prime is 321420310413299. The next prime is 321420310413403. The reversal of 321420310413400 is 4314013024123.

It is a happy number.

It is a super-2 number, since 2×3214203104134002 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (321420310413403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 73050068349 + ... + 73050072748.

Almost surely, 2321420310413400 is an apocalyptic number.

It is an amenable number.

321420310413400 is an abundant number, since it is smaller than the sum of its proper divisors (493818476913440).

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

321420310413400 is a wasteful number, since it uses less digits than its factorization.

321420310413400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146100141124 (or 146100141115 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 321420310413400 its reverse (4314013024123), we get a palindrome (325734323437523).

The spelling of 321420310413400 in words is "three hundred twenty-one trillion, four hundred twenty billion, three hundred ten million, four hundred thirteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 146100141097 292200282194 584400564388 730500705485 1168801128776 1461001410970 1607101552067 2922002821940 3214203104134 3652503527425 5844005643880 6428406208268 7305007054850 8035507760335 12856812416536 14610014109700 16071015520670 29220028219400 32142031041340 40177538801675 64284062082680 80355077603350 160710155206700 321420310413400