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331001121033 = 3611187721991
BaseRepresentation
bin1001101000100010011…
…01000100100100001001
31011122101001000011000000
410310101031010210021
520410342241333113
6412020530433213
732625342051402
oct4642115044411
91148331004000
10331001121033
1111841655a390
1254197732809
13252a07341cb
141204050a9a9
15892413b373
hex4d11344909

331001121033 has 56 divisors (see below), whose sum is σ = 541703601216. Its totient is φ = 200490746400.

The previous prime is 331001121023. The next prime is 331001121067. The reversal of 331001121033 is 330121100133.

It is a happy number.

It is not a de Polignac number, because 331001121033 - 28 = 331001120777 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 331001120997 and 331001121015.

It is not an unprimeable number, because it can be changed into a prime (331001121023) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 15040668 + ... + 15062658.

Almost surely, 2331001121033 is an apocalyptic number.

331001121033 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

331001121033 is a deficient number, since it is larger than the sum of its proper divisors (210702480183).

331001121033 is a wasteful number, since it uses less digits than its factorization.

331001121033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23897 (or 23882 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 331001121033 its reverse (330121100133), we get a palindrome (661122221166).

The spelling of 331001121033 in words is "three hundred thirty-one billion, one million, one hundred twenty-one thousand, thirty-three".

Divisors: 1 3 9 11 27 33 81 99 243 297 729 891 1877 2673 5631 8019 16893 20647 21991 50679 61941 65973 152037 185823 197919 241901 456111 557469 593757 725703 1368333 1672407 1781271 2177109 5017221 5343813 6531327 15051663 16031439 19593981 41277107 58781943 123831321 176345829 371493963 454048177 1114481889 1362144531 3343445667 4086433593 10030337001 12259300779 30091011003 36777902337 110333707011 331001121033