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131300110023233 = 6115788491549321
BaseRepresentation
bin11101110110101010110000…
…011010101011101001000001
3122012220011112102101111111112
4131312222300122223221001
5114202210111131220413
61143130234323453105
736441056061442454
oct3566526032535101
9565804472344445
10131300110023233
1138922078137508
1212886a11227195
1358357163c2418
14245cd601c749b
15102a63cea32a8
hex776ab06aba41

131300110023233 has 16 divisors (see below), whose sum is σ = 134317851061200. Its totient is φ = 128310468249600.

The previous prime is 131300110023163. The next prime is 131300110023301. The reversal of 131300110023233 is 332320011003131.

It can be written as a sum of positive squares in 8 ways, for example, as 63383523736129 + 67916586287104 = 7961377^2 + 8241152^2 .

It is a cyclic number.

It is not a de Polignac number, because 131300110023233 - 216 = 131300109957697 is a prime.

It is a super-2 number, since 2×1313001100232332 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131300110023199 and 131300110023208.

It is not an unprimeable number, because it can be changed into a prime (131300119023233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 83972213 + ... + 85521533.

It is an arithmetic number, because the mean of its divisors is an integer number (8394865691325).

Almost surely, 2131300110023233 is an apocalyptic number.

It is an amenable number.

131300110023233 is a deficient number, since it is larger than the sum of its proper divisors (3017741037967).

131300110023233 is a wasteful number, since it uses less digits than its factorization.

131300110023233 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1558388.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 131300110023233 its reverse (332320011003131), we get a palindrome (463620121026364).

The spelling of 131300110023233 in words is "one hundred thirty-one trillion, three hundred billion, one hundred ten million, twenty-three thousand, two hundred thirty-three".

Divisors: 1 61 157 8849 9577 539789 1389293 1549321 84746873 94508581 243243397 13709941529 14837847217 836306433269 2152460820053 131300110023233