Search a number
-
+
33023031132 = 22371337018171
BaseRepresentation
bin11110110000010100…
…110111011101011100
310011020102122210111010
4132300110313131130
51020112343444012
623100502055220
72246225063460
oct366024673534
9104212583433
1033023031132
1113006705073
12649741a510
133163781610
141853b284a0
15cd421bc3c
hex7b053775c

33023031132 has 96 divisors (see below), whose sum is σ = 94872605184. Its totient is φ = 8705952000.

The previous prime is 33023031091. The next prime is 33023031157. The reversal of 33023031132 is 23113032033.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 33023031099 and 33023031108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4037407 + ... + 4045577.

It is an arithmetic number, because the mean of its divisors is an integer number (988256304).

Almost surely, 233023031132 is an apocalyptic number.

It is an amenable number.

33023031132 is an abundant number, since it is smaller than the sum of its proper divisors (61849574052).

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

33023031132 is a wasteful number, since it uses less digits than its factorization.

33023031132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11899 (or 11897 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 21.

Adding to 33023031132 its reverse (23113032033), we get a palindrome (56136063165).

Subtracting from 33023031132 its reverse (23113032033), we obtain a palindrome (9909999099).

The spelling of 33023031132 in words is "thirty-three billion, twenty-three million, thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 3701 7402 8171 11103 14804 16342 22206 24513 25907 32684 44412 48113 49026 51814 57197 77721 96226 98052 103628 106223 114394 144339 155442 171591 192452 212446 228788 288678 310884 318669 336791 343182 424892 577356 637338 673582 686364 743561 1010373 1274676 1347164 1487122 2020746 2230683 2974244 4041492 4461366 8922732 30240871 60481742 90722613 120963484 181445226 211686097 362890452 393131323 423372194 635058291 786262646 846744388 1179393969 1270116582 1572525292 2358787938 2540233164 2751919261 4717575876 5503838522 8255757783 11007677044 16511515566 33023031132