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2013223123120 = 245113761831177
BaseRepresentation
bin11101010010111101011…
…100101111100010110000
321010110110222111002210211
4131102331130233202300
5230441040104414440
64140510102233504
7265310355124306
oct35227534574260
97113428432724
102013223123120
11706891a71a10
12286214425894
13117accc28191
146d624ada276
153757dd04eea
hex1d4bd72f8b0

2013223123120 has 80 divisors (see below), whose sum is σ = 5244273193248. Its totient is φ = 712295147520.

The previous prime is 2013223123073. The next prime is 2013223123127. The reversal of 2013223123120 is 213213223102.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 2013223123091 and 2013223123100.

It is not an unprimeable number, because it can be changed into a prime (2013223123127) 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 15 ways as a sum of consecutive naturals, for example, 30883029 + ... + 30948148.

Almost surely, 22013223123120 is an apocalyptic number.

2013223123120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2013223123120 is an abundant number, since it is smaller than the sum of its proper divisors (3231050070128).

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

2013223123120 is a wasteful number, since it uses less digits than its factorization.

2013223123120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61831238 (or 61831232 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

Adding to 2013223123120 its reverse (213213223102), we get a palindrome (2226436346222).

The spelling of 2013223123120 in words is "two trillion, thirteen billion, two hundred twenty-three million, one hundred twenty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 37 40 44 55 74 80 88 110 148 176 185 220 296 370 407 440 592 740 814 880 1480 1628 2035 2960 3256 4070 6512 8140 16280 32560 61831177 123662354 247324708 309155885 494649416 618311770 680142947 989298832 1236623540 1360285894 2287753549 2473247080 2720571788 3400714735 4575507098 4946494160 5441143576 6801429470 9151014196 10882287152 11438767745 13602858940 18302028392 22877535490 25165289039 27205717880 36604056784 45755070980 50330578078 54411435760 91510141960 100661156156 125826445195 183020283920 201322312312 251652890390 402644624624 503305780780 1006611561560 2013223123120