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1213004309985 = 335131740657091
BaseRepresentation
bin10001101001101100101…
…100001110010111100001
311021221222100121111122000
4101221230230032113201
5124333213100404420
62325125124034213
7153431243341146
oct21515454162741
94257870544560
101213004309985
11428483345716
12177108832969
138a5028383a0
14429d16963cd
15218466de690
hex11a6cb0e5e1

1213004309985 has 64 divisors (see below), whose sum is σ = 2458940924160. Its totient is φ = 562043612160.

The previous prime is 1213004309941. The next prime is 1213004309987. The reversal of 1213004309985 is 5899034003121.

It is a happy number.

1213004309985 is a `hidden beast` number, since 1 + 2 + 130 + 0 + 430 + 9 + 9 + 85 = 666.

It is not a de Polignac number, because 1213004309985 - 213 = 1213004301793 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 1213004309985.

It is not an unprimeable number, because it can be changed into a prime (1213004309987) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 20298711 + ... + 20358380.

It is an arithmetic number, because the mean of its divisors is an integer number (38420951940).

Almost surely, 21213004309985 is an apocalyptic number.

1213004309985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1213004309985 is an abundant number, since it is smaller than the sum of its proper divisors (1245936614175).

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

1213004309985 is a wasteful number, since it uses less digits than its factorization.

1213004309985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40657135 (or 40657129 counting only the distinct ones).

The product of its (nonzero) digits is 233280, while the sum is 45.

The spelling of 1213004309985 in words is "one trillion, two hundred thirteen billion, four million, three hundred nine thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 13 15 17 27 39 45 51 65 85 117 135 153 195 221 255 351 459 585 663 765 1105 1755 1989 2295 3315 5967 9945 29835 40657091 121971273 203285455 365913819 528542183 609856365 691170547 1097741457 1585626549 1829569095 2073511641 2642710915 3455852735 4756879647 5488707285 6220534923 7928132745 8985217111 10367558205 14270638941 18661604769 23784398235 26955651333 31102674615 44926085555 71353194705 80866953999 93308023845 134778256665 242600861997 404334769995 1213004309985