Search a number
-
+
23012033021032 = 23111103212370359
BaseRepresentation
bin1010011101101111010000…
…00011011100010001101000
310000110221002010222120210111
411032313220003130101220
511004012120423133112
6120535325415024104
74563364426202656
oct516675003342150
9100427063876714
1023012033021032
1173723917995a0
1226b7a7736b034
13cac043a6a513
14597b072c9dd6
1529d8e0bbe5a7
hex14ede80dc468

23012033021032 has 32 divisors (see below), whose sum is σ = 47070514065600. Its totient is φ = 10459915782400.

The previous prime is 23012033020969. The next prime is 23012033021039.

23012033021032 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×230120330210322 (a number of 28 digits) contains 22 as substring.

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 = 23012033020994 and 23012033021012.

It is not an unprimeable number, because it can be changed into a prime (23012033021039) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8523069 + ... + 10893427.

It is an arithmetic number, because the mean of its divisors is an integer number (1470953564550).

Almost surely, 223012033021032 is an apocalyptic number.

23012033021032 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

23012033021032 is an abundant number, since it is smaller than the sum of its proper divisors (24058481044568).

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

23012033021032 is a wasteful number, since it uses less digits than its factorization.

23012033021032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2480697 (or 2480693 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 22.

It can be divided in two parts, 2301203 and 3021032, that added together give a palindrome (5322235).

The spelling of 23012033021032 in words is "twenty-three trillion, twelve billion, thirty-three million, twenty-one thousand, thirty-two".

Divisors: 1 2 4 8 11 22 44 88 110321 220642 441284 882568 1213531 2370359 2427062 4740718 4854124 9481436 9708248 18962872 26073949 52147898 104295796 208591592 261500375239 523000750478 1046001500956 2092003001912 2876504127629 5753008255258 11506016510516 23012033021032