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331011231030 = 232515723426131
BaseRepresentation
bin1001101000100011100…
…11101000110100110110
31011122101202000210022100
410310101303220310312
520410402333343110
6412021531242530
732625524016534
oct4642163506466
91148352023270
10331011231030
11118421235157
125419aba9446
13252a2863b5c
14120419bd154
158924e86bc0
hex4d11ce8d36

331011231030 has 48 divisors (see below), whose sum is σ = 866110952304. Its totient is φ = 87707430720.

The previous prime is 331011231029. The next prime is 331011231037. The reversal of 331011231030 is 30132110133.

It is a happy number.

331011231030 is a `hidden beast` number, since 3 + 310 + 1 + 12 + 310 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 331011230994 and 331011231012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331011231037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11698936 + ... + 11727195.

It is an arithmetic number, because the mean of its divisors is an integer number (18043978173).

Almost surely, 2331011231030 is an apocalyptic number.

331011231030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

331011231030 is an abundant number, since it is smaller than the sum of its proper divisors (535099721274).

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

331011231030 is a wasteful number, since it uses less digits than its factorization.

331011231030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23426301 (or 23426298 counting only the distinct ones).

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

Adding to 331011231030 its reverse (30132110133), we get a palindrome (361143341163).

The spelling of 331011231030 in words is "three hundred thirty-one billion, eleven million, two hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 157 314 471 785 942 1413 1570 2355 2826 4710 7065 14130 23426131 46852262 70278393 117130655 140556786 210835179 234261310 351391965 421670358 702783930 1054175895 2108351790 3677902567 7355805134 11033707701 18389512835 22067415402 33101123103 36779025670 55168538505 66202246206 110337077010 165505615515 331011231030