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313122001332 = 223773281181721
BaseRepresentation
bin1001000111001111000…
…01101001000110110100
31002221020000021202120110
410203213201221012310
520112233213020312
6355502443103020
731423312045110
oct4434741510664
91087200252513
10313122001332
111108812300a8
1250827b11a70
13236b157843a
1411225b88740
1582296ae43c
hex48e78691b4

313122001332 has 96 divisors (see below), whose sum is σ = 849447131904. Its totient is φ = 87923404800.

The previous prime is 313122001331. The next prime is 313122001333. The reversal of 313122001332 is 233100221313.

It is an interprime number because it is at equal distance from previous prime (313122001331) and next prime (313122001333).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 313122001299 and 313122001308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313122001331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1632232 + ... + 1813952.

It is an arithmetic number, because the mean of its divisors is an integer number (8848407624).

Almost surely, 2313122001332 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 313122001332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424723565952).

313122001332 is an abundant number, since it is smaller than the sum of its proper divisors (536325130572).

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

313122001332 is a wasteful number, since it uses less digits than its factorization.

313122001332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182089 (or 182087 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 21.

Adding to 313122001332 its reverse (233100221313), we get a palindrome (546222222645).

The spelling of 313122001332 in words is "three hundred thirteen billion, one hundred twenty-two million, one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 73 84 146 219 281 292 438 511 562 843 876 1022 1124 1533 1686 1967 2044 3066 3372 3934 5901 6132 7868 11802 20513 23604 41026 61539 82052 123078 143591 181721 246156 287182 363442 430773 545163 574364 726884 861546 1090326 1272047 1723092 2180652 2544094 3816141 5088188 7632282 13265633 15264564 26531266 39796899 51063601 53062532 79593798 92859431 102127202 153190803 159187596 185718862 204254404 278578293 306381606 357445207 371437724 557156586 612763212 714890414 1072335621 1114313172 1429780828 2144671242 3727642873 4289342484 7455285746 11182928619 14910571492 22365857238 26093500111 44731714476 52187000222 78280500333 104374000444 156561000666 313122001332