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103230131022 = 23913719141
BaseRepresentation
bin110000000100011111…
…1101100101101001110
3100212110021201000000000
41200020333230231032
53142403403143042
6115231231545130
710313065431054
oct1401077545516
9325407630000
10103230131022
113a863799377
121800b68b1a6
139971a9aa85
144dd40501d4
152a42ada74c
hex1808fecb4e

103230131022 has 80 divisors (see below), whose sum is σ = 233971440912. Its totient is φ = 34157090880.

The previous prime is 103230130967. The next prime is 103230131027. The reversal of 103230131022 is 220131032301.

103230131022 is a `hidden beast` number, since 1 + 0 + 32 + 301 + 310 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103230130986 and 103230131004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103230131027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5383572 + ... + 5402712.

Almost surely, 2103230131022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103230131022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116985720456).

103230131022 is an abundant number, since it is smaller than the sum of its proper divisors (130741309890).

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

103230131022 is an frugal number, since it uses more digits than its factorization.

103230131022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19307 (or 19283 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103230131022 its reverse (220131032301), we get a palindrome (323361163323).

The spelling of 103230131022 in words is "one hundred three billion, two hundred thirty million, one hundred thirty-one thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 54 81 137 162 243 274 411 486 729 822 1233 1458 2187 2466 3699 4374 6561 7398 11097 13122 19141 19683 22194 33291 38282 39366 57423 66582 99873 114846 172269 199746 299619 344538 516807 599238 898857 1033614 1550421 1797714 2622317 2696571 3100842 4651263 5244634 5393142 7866951 9302526 13953789 15733902 23600853 27907578 41861367 47201706 70802559 83722734 125584101 141605118 212407677 251168202 376752303 424815354 637223031 753504606 1274446062 1911669093 3823338186 5735007279 11470014558 17205021837 34410043674 51615065511 103230131022