Search a number
-
+
3133310024130 = 23511133343218479
BaseRepresentation
bin101101100110000111110…
…101001011100111000010
3102002112121202121011120020
4231212013311023213002
5402314004331233010
610355231151554310
7442242225523416
oct55460765134702
912075552534506
103133310024130
11aa8913906a40
1242730b22b996
131996153b65a0
14ab91dc2ad46
1556787e8a470
hex2d987d4b9c2

3133310024130 has 128 divisors (see below), whose sum is σ = 8837302763520. Its totient is φ = 700947336960.

The previous prime is 3133310024129. The next prime is 3133310024167. The reversal of 3133310024130 is 314200133313.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 3133310024130.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14232231 + ... + 14450709.

It is an arithmetic number, because the mean of its divisors is an integer number (69041427840).

Almost surely, 23133310024130 is an apocalyptic number.

3133310024130 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 3133310024130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4418651381760).

3133310024130 is an abundant number, since it is smaller than the sum of its proper divisors (5703992739390).

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

3133310024130 is a wasteful number, since it uses less digits than its factorization.

3133310024130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221856.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 3133310024130 its reverse (314200133313), we get a palindrome (3447510157443).

The spelling of 3133310024130 in words is "three trillion, one hundred thirty-three billion, three hundred ten million, twenty-four thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 286 330 390 429 715 858 1430 2145 3343 4290 6686 10029 16715 20058 33430 36773 43459 50145 73546 86918 100290 110319 130377 183865 217295 218479 220638 260754 367730 434590 436958 478049 551595 651885 655437 956098 1092395 1103190 1303770 1310874 1434147 2184790 2390245 2403269 2840227 2868294 3277185 4780490 4806538 5680454 6554370 7170735 7209807 8520681 12016345 14201135 14341470 14419614 17041362 24032690 28402270 31242497 36049035 42603405 62484994 72098070 85206810 93727491 156212485 187454982 312424970 468637455 730375297 937274910 1460750594 2191125891 3651876485 4382251782 7303752970 8034128267 9494878861 10955629455 16068256534 18989757722 21911258910 24102384801 28484636583 40170641335 47474394305 48204769602 56969273166 80341282670 94948788610 104443667471 120511924005 142423182915 208887334942 241023848010 284846365830 313331002413 522218337355 626662004826 1044436674710 1566655012065 3133310024130