Search a number
-
+
133111533420 = 223251949977999
BaseRepresentation
bin111101111111000010…
…0001100111101101100
3110201120202211112001100
41323332010030331230
54140103023032140
6141052310043100
712421425236235
oct1737604147554
9421522745040
10133111533420
11514a7a99258
122196a949490
13c72470a378
14662a82608c
1536e10d9530
hex1efe10cf6c

133111533420 has 144 divisors (see below), whose sum is σ = 425880000000. Its totient is φ = 33560355456.

The previous prime is 133111533397. The next prime is 133111533431. The reversal of 133111533420 is 24335111331.

133111533420 is a `hidden beast` number, since 1 + 3 + 311 + 1 + 5 + 3 + 342 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1667581 + ... + 1745579.

It is an arithmetic number, because the mean of its divisors is an integer number (2957500000).

Almost surely, 2133111533420 is an apocalyptic number.

133111533420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133111533420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212940000000).

133111533420 is an abundant number, since it is smaller than the sum of its proper divisors (292768466580).

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

133111533420 is a wasteful number, since it uses less digits than its factorization.

133111533420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78532 (or 78527 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 133111533420 its reverse (24335111331), we get a palindrome (157446644751).

The spelling of 133111533420 in words is "one hundred thirty-three billion, one hundred eleven million, five hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 499 570 684 855 998 1140 1497 1710 1996 2495 2994 3420 4491 4990 5988 7485 8982 9481 9980 14970 17964 18962 22455 28443 29940 37924 44910 47405 56886 77999 85329 89820 94810 113772 142215 155998 170658 189620 233997 284430 311996 341316 389995 426645 467994 568860 701991 779990 853290 935988 1169985 1403982 1481981 1559980 1706580 2339970 2807964 2963962 3509955 4445943 4679940 5927924 7019910 7409905 8891886 13337829 14039820 14819810 17783772 22229715 26675658 29639620 38921501 44459430 53351316 66689145 77843002 88918860 116764503 133378290 155686004 194607505 233529006 266756580 350293509 389215010 467058012 583822515 700587018 739508519 778430020 1167645030 1401174036 1479017038 1751467545 2218525557 2335290060 2958034076 3502935090 3697542595 4437051114 6655576671 7005870180 7395085190 8874102228 11092627785 13311153342 14790170380 22185255570 26622306684 33277883355 44370511140 66555766710 133111533420