Search a number
-
+
233101120131030 = 235599111959115861
BaseRepresentation
bin110101000000000100010101…
…011101100100111111010110
31010120100020201211221222122210
4311000010111131210333112
5221023112043223143110
62143433102023334250
7100046000026135554
oct6500042535447726
91116306654858583
10233101120131030
11683006a24201a8
12221886855b1386
13a00b458b19388
14417c2239c6bd4
151be3765d07520
hexd40115764fd6

233101120131030 has 64 divisors (see below), whose sum is σ = 560386491264000. Its totient is φ = 62055435361920.

The previous prime is 233101120131029. The next prime is 233101120131037. The reversal of 233101120131030 is 30131021101332.

It is a happy number.

It is a super-2 number, since 2×2331011201310302 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 233101120130988 and 233101120131006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233101120131037) 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 31 ways as a sum of consecutive naturals, for example, 2011845300 + ... + 2011961160.

It is an arithmetic number, because the mean of its divisors is an integer number (8756038926000).

Almost surely, 2233101120131030 is an apocalyptic number.

233101120131030 is an abundant number, since it is smaller than the sum of its proper divisors (327285371132970).

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

233101120131030 is a wasteful number, since it uses less digits than its factorization.

233101120131030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228429.

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 233101120131030 its reverse (30131021101332), we get a palindrome (263232141232362).

The spelling of 233101120131030 in words is "two hundred thirty-three trillion, one hundred one billion, one hundred twenty million, one hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 599 1198 1797 2995 3594 5990 8985 17970 111959 115861 223918 231722 335877 347583 559795 579305 671754 695166 1119590 1158610 1679385 1737915 3358770 3475830 67063441 69400739 134126882 138801478 201190323 208202217 335317205 347003695 402380646 416404434 670634410 694007390 1005951615 1041011085 2011903230 2082022170 12971681699 25943363398 38915045097 64858408495 77830090194 129716816990 194575225485 389150450970 7770037337701 15540074675402 23310112013103 38850186688505 46620224026206 77700373377010 116550560065515 233101120131030