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31303053114024 = 23331247631699067
BaseRepresentation
bin1110001111000010011110…
…10111000111101010101000
311002211112122121000110210110
413013201033113013222220
513100332123044122044
6150324231333414320
76410366560200636
oct707411727075250
9132745577013713
1031303053114024
119a79606460a7a
1236168a919a3a0
131460b32c26823
147a310c206356
153943e6c856b9
hex1c784f5c7aa8

31303053114024 has 64 divisors (see below), whose sum is σ = 80785382307840. Its totient is φ = 10097345350080.

The previous prime is 31303053114019. The next prime is 31303053114031. The reversal of 31303053114024 is 42041135030313.

It is a happy number.

31303053114024 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×313030531140242 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 31303053113982 and 31303053114000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17574139 + ... + 19273205.

It is an arithmetic number, because the mean of its divisors is an integer number (1262271598560).

Almost surely, 231303053114024 is an apocalyptic number.

It is an amenable number.

31303053114024 is an abundant number, since it is smaller than the sum of its proper divisors (49482329193816).

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

31303053114024 is a wasteful number, since it uses less digits than its factorization.

31303053114024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1723870 (or 1723866 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

Adding to 31303053114024 its reverse (42041135030313), we get a palindrome (73344188144337).

The spelling of 31303053114024 in words is "thirty-one trillion, three hundred three billion, fifty-three million, one hundred fourteen thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 24 31 62 93 124 186 248 372 744 24763 49526 74289 99052 148578 198104 297156 594312 767653 1535306 1699067 2302959 3070612 3398134 4605918 5097201 6141224 6796268 9211836 10194402 13592536 18423672 20388804 40777608 52671077 105342154 158013231 210684308 316026462 421368616 632052924 1264105848 42073996121 84147992242 126221988363 168295984484 252443976726 336591968968 504887953452 1009775906904 1304293879751 2608587759502 3912881639253 5217175519004 7825763278506 10434351038008 15651526557012 31303053114024