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311332122111032 = 231141225569382541
BaseRepresentation
bin100011011001001111010100…
…0100010111010110000111000
31111211100001121212221121100122
41012302132220202322300320
5311301331141230023112
63022052000305152412
7122402001134222411
oct10662365042726070
91454301555847318
10311332122111032
119022223657a130
122ab0230192b708
131049465457c959
1456c47ab31c808
1525ed6e2784872
hex11b27a88bac38

311332122111032 has 64 divisors (see below), whose sum is σ = 652352391986400. Its totient is φ = 138062052352000.

The previous prime is 311332122111011. The next prime is 311332122111097. The reversal of 311332122111032 is 230111221233113.

It is a super-2 number, since 2×3113321221110322 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 311332122110992 and 311332122111010.

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, 813661682 + ... + 814044222.

Almost surely, 2311332122111032 is an apocalyptic number.

It is an amenable number.

311332122111032 is an abundant number, since it is smaller than the sum of its proper divisors (341020269875368).

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

311332122111032 is a wasteful number, since it uses less digits than its factorization.

311332122111032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608168 (or 608164 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

Adding to 311332122111032 its reverse (230111221233113), we get a palindrome (541443343344145).

The spelling of 311332122111032 in words is "three hundred eleven trillion, three hundred thirty-two billion, one hundred twenty-two million, one hundred eleven thousand, thirty-two".

Divisors: 1 2 4 8 11 22 41 44 82 88 164 328 451 902 1804 3608 225569 382541 451138 765082 902276 1530164 1804552 2481259 3060328 4207951 4962518 8415902 9248329 9925036 15684181 16831804 18496658 19850072 31368362 33663608 36993316 62736724 73986632 101731619 125473448 172525991 203463238 345051982 406926476 690103964 813852952 1380207928 86289390829 172578781658 345157563316 690315126632 949183299119 1898366598238 3537865023989 3796733196476 7075730047978 7593466392952 14151460095956 28302920191912 38916515263879 77833030527758 155666061055516 311332122111032