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2053320233502 = 2337831017391493
BaseRepresentation
bin11101111000010011011…
…011000101001000011110
321021021222102021100201010
4131320103123011020132
5232120144434433002
64211140550400050
7301230122003616
oct35702333051036
97237872240633
102053320233502
1172189881846a
12291b44960026
1311b82014bbb5
147154a145a46
15386290c046c
hex1de136c521e

2053320233502 has 128 divisors (see below), whose sum is σ = 4319431764480. Its totient is φ = 650087078400.

The previous prime is 2053320233479. The next prime is 2053320233509.

2053320233502 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×20533202335023 (a number of 38 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a self number, because there is not a number n which added to its sum of digits gives 2053320233502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2053320233509) 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, 1375297468 + ... + 1375298960.

It is an arithmetic number, because the mean of its divisors is an integer number (33745560660).

Almost surely, 22053320233502 is an apocalyptic number.

2053320233502 is an abundant number, since it is smaller than the sum of its proper divisors (2266111530978).

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

2053320233502 is a wasteful number, since it uses less digits than its factorization.

2053320233502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2458.

The product of its (nonzero) digits is 32400, while the sum is 30.

It can be divided in two parts, 2053320 and 233502, that added together give a palindrome (2286822).

The spelling of 2053320233502 in words is "two trillion, fifty-three billion, three hundred twenty million, two hundred thirty-three thousand, five hundred two".

Divisors: 1 2 3 6 37 74 83 101 111 166 202 222 249 303 498 606 739 1478 1493 2217 2986 3071 3737 4434 4479 6142 7474 8383 8958 9213 11211 16766 18426 22422 25149 27343 50298 54686 55241 61337 74639 82029 110482 122674 123919 149278 150793 164058 165723 184011 223917 247838 301586 310171 331446 368022 371757 447834 452379 620342 743514 904758 930513 1103327 1861026 2206654 2269469 2761643 3309981 4538938 4585003 5523286 5579341 6195037 6619962 6808407 8284929 9170006 11158682 12390074 12515819 13616814 13755009 16569858 16738023 18585111 25031638 27510018 33476046 37170222 37547457 40823099 75094914 81646198 91576141 111436027 122469297 183152282 222872054 229216369 244938594 274728423 334308081 458432738 463085303 549456846 668616162 687649107 926170606 1375298214 1389255909 2778511818 3388317217 4123132999 6776634434 8246265998 9249190241 10164951651 12369398997 18498380482 20329903302 24738797994 27747570723 55495141446 342220038917 684440077834 1026660116751 2053320233502