Search a number
-
+
31435701213 = 3729186127737
BaseRepresentation
bin11101010001101101…
…101011101111011101
310000010210211002012010
4131101231223233131
51003340014414323
622235200101433
72162002023450
oct352155535735
9100123732163
1031435701213
11123716a7664
126113904879
132c6c963847
141742db1497
15c3ebc1c93
hex751b6bbdd

31435701213 has 32 divisors (see below), whose sum is σ = 49582229760. Its totient is φ = 17333890560.

The previous prime is 31435701211. The next prime is 31435701223. The reversal of 31435701213 is 31210753413.

It is not a de Polignac number, because 31435701213 - 21 = 31435701211 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31435701211) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1119481 + ... + 1147217.

It is an arithmetic number, because the mean of its divisors is an integer number (1549444680).

Almost surely, 231435701213 is an apocalyptic number.

It is an amenable number.

31435701213 is a deficient number, since it is larger than the sum of its proper divisors (18146528547).

31435701213 is a wasteful number, since it uses less digits than its factorization.

31435701213 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29637.

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 31435701213 in words is "thirty-one billion, four hundred thirty-five million, seven hundred one thousand, two hundred thirteen".

Divisors: 1 3 7 21 29 87 203 609 1861 5583 13027 27737 39081 53969 83211 161907 194159 377783 582477 804373 1133349 2413119 5630611 16891833 51618557 154855671 361329899 1083989697 1496938153 4490814459 10478567071 31435701213