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33102040122 = 2341924712043
BaseRepresentation
bin11110110101000010…
…010000110000111010
310011102221022212110000
4132311002100300322
51020243110240442
623112403333430
72251204461414
oct366502206072
9104387285400
1033102040122
1113047269758
1264b9981276
133176c558b8
1418604139b4
15cdb126d4c
hex7b5090c3a

33102040122 has 120 divisors (see below), whose sum is σ = 79954623936. Its totient is φ = 10230016176.

The previous prime is 33102040091. The next prime is 33102040123. The reversal of 33102040122 is 22104020133.

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 = 33102040095 and 33102040104.

It is not an unprimeable number, because it can be changed into a prime (33102040123) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 2742633 + ... + 2754675.

Almost surely, 233102040122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33102040122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39977311968).

33102040122 is an abundant number, since it is smaller than the sum of its proper divisors (46852583814).

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

33102040122 is a wasteful number, since it uses less digits than its factorization.

33102040122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12142 (or 12114 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 33102040122 its reverse (22104020133), we get a palindrome (55206060255).

The spelling of 33102040122 in words is "thirty-three billion, one hundred two million, forty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 47 54 57 81 94 114 141 162 171 282 342 361 423 513 722 846 893 1026 1083 1269 1539 1786 2166 2538 2679 3078 3249 3807 5358 6498 7614 8037 9747 12043 16074 16967 19494 24086 24111 29241 33934 36129 48222 50901 58482 72258 72333 101802 108387 144666 152703 216774 228817 305406 325161 457634 458109 566021 650322 686451 916218 975483 1132042 1372902 1374327 1698063 1950966 2059353 2748654 3396126 4118706 4347523 5094189 6178059 8695046 10188378 10754399 12356118 13042569 15282567 18534177 21508798 26085138 30565134 32263197 37068354 39127707 45847701 64526394 78255414 91695402 96789591 117383121 193579182 204333581 234766242 290368773 352149363 408667162 580737546 613000743 704298726 871106319 1226001486 1742212638 1839002229 3678004458 5517006687 11034013374 16551020061 33102040122