Search a number
-
+
2310111002040 = 2335150611278197
BaseRepresentation
bin100001100111011101010…
…110000111110110111000
322011211210121102000000020
4201213131112013312320
5300322101404031130
64525130024010440
7325620463346442
oct41473526076670
98154717360006
102310111002040
11810792488616
1231386b600a20
13139ac507690a
147db4a7ab492
1540158173e10
hex219dd587db8

2310111002040 has 64 divisors (see below), whose sum is σ = 6930798579360. Its totient is φ = 615988216320.

The previous prime is 2310111001999. The next prime is 2310111002081. The reversal of 2310111002040 is 402001110132.

It is an interprime number because it is at equal distance from previous prime (2310111001999) and next prime (2310111002081).

It is a super-2 number, since 2×23101110020402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1168222 + ... + 2446418.

Almost surely, 22310111002040 is an apocalyptic number.

2310111002040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2310111002040 is an abundant number, since it is smaller than the sum of its proper divisors (4620687577320).

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

2310111002040 is a wasteful number, since it uses less digits than its factorization.

2310111002040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1293272 (or 1293268 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 2310111002040 its reverse (402001110132), we get a palindrome (2712112112172).

The spelling of 2310111002040 in words is "two trillion, three hundred ten billion, one hundred eleven million, two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 15061 30122 45183 60244 75305 90366 120488 150610 180732 225915 301220 361464 451830 602440 903660 1278197 1807320 2556394 3834591 5112788 6390985 7669182 10225576 12781970 15338364 19172955 25563940 30676728 38345910 51127880 76691820 153383640 19250925017 38501850034 57752775051 77003700068 96254625085 115505550102 154007400136 192509250170 231011100204 288763875255 385018500340 462022200408 577527750510 770037000680 1155055501020 2310111002040