Search a number
-
+
123240041430 = 2351119101194609
BaseRepresentation
bin111001011000110101…
…1011100101111010110
3102210002210212202202220
41302301223130233112
54004343422311210
6132340553443210
711622001032222
oct1626153345726
9383083782686
10123240041430
11482a1877210
121ba74a10506
13b81053554c
145d71795782
153314662c70
hex1cb1adcbd6

123240041430 has 128 divisors (see below), whose sum is σ = 343011801600. Its totient is φ = 28023552000.

The previous prime is 123240041423. The next prime is 123240041437. The reversal of 123240041430 is 34140042321.

It is an interprime number because it is at equal distance from previous prime (123240041423) and next prime (123240041437).

It is a self number, because there is not a number n which added to its sum of digits gives 123240041430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (123240041437) 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, 535966 + ... + 730574.

It is an arithmetic number, because the mean of its divisors is an integer number (2679779700).

Almost surely, 2123240041430 is an apocalyptic number.

123240041430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 123240041430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171505900800).

123240041430 is an abundant number, since it is smaller than the sum of its proper divisors (219771760170).

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

123240041430 is a wasteful number, since it uses less digits than its factorization.

123240041430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194750.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 123240041430 its reverse (34140042321), we get a palindrome (157380083751).

The spelling of 123240041430 in words is "one hundred twenty-three billion, two hundred forty million, forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 101 110 114 165 190 202 209 285 303 330 418 505 570 606 627 1010 1045 1111 1254 1515 1919 2090 2222 3030 3135 3333 3838 5555 5757 6270 6666 9595 11110 11514 16665 19190 21109 28785 33330 42218 57570 63327 105545 126654 194609 211090 316635 389218 583827 633270 973045 1167654 1946090 2140699 2919135 3697571 4281398 5838270 6422097 7395142 10703495 11092713 12844194 18487855 19655509 21406990 22185426 32110485 36975710 39311018 40673281 55463565 58966527 64220970 81346562 98277545 110927130 117933054 122019843 196555090 203366405 216210599 244039686 294832635 373454671 406732810 432421198 589665270 610099215 648631797 746909342 1081052995 1120364013 1220198430 1297263594 1867273355 2162105990 2240728026 3243158985 3734546710 4108001381 5601820065 6486317970 8216002762 11203640130 12324004143 20540006905 24648008286 41080013810 61620020715 123240041430