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331002404212131 = 33149180434560079
BaseRepresentation
bin100101101000010111000000…
…0101110010000110110100011
31121101222112001200000101212000
41023100232000232100312203
5321341120410434242011
63131552223312335043
7126502064100324201
oct11320560056206643
91541875050011760
10331002404212131
1196516370a65643
123115a597544483
1311290514c41812
145ba485d664071
1528401eaea8356
hex12d0b80b90da3

331002404212131 has 32 divisors (see below), whose sum is σ = 493692501120000. Its totient is φ = 219175078263264.

The previous prime is 331002404212111. The next prime is 331002404212177. The reversal of 331002404212131 is 131212404200133.

331002404212131 is a `hidden beast` number, since 3 + 3 + 1 + 0 + 0 + 24 + 0 + 421 + 213 + 1 = 666.

It is not a de Polignac number, because 331002404212131 - 25 = 331002404212099 is a prime.

It is a super-2 number, since 2×3310024042121312 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 331002404212095 and 331002404212104.

It is not an unprimeable number, because it can be changed into a prime (331002404212111) 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, 70306950 + ... + 74867028.

It is an arithmetic number, because the mean of its divisors is an integer number (15427890660000).

Almost surely, 2331002404212131 is an apocalyptic number.

331002404212131 is a deficient number, since it is larger than the sum of its proper divisors (162690096907869).

331002404212131 is a wasteful number, since it uses less digits than its factorization.

331002404212131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4578280 (or 4578274 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

Adding to 331002404212131 its reverse (131212404200133), we get a palindrome (462214808412264).

The spelling of 331002404212131 in words is "three hundred thirty-one trillion, two billion, four hundred four million, two hundred twelve thousand, one hundred thirty-one".

Divisors: 1 3 9 27 149 447 1341 4023 18043 54129 162387 487161 2688407 4560079 8065221 13680237 24195663 41040711 72586989 123122133 679451771 2038355313 6115065939 18345197817 82277505397 246832516191 740497548573 2221492645719 12259348304153 36778044912459 110334134737377 331002404212131