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1330363224102 = 2311196133152543
BaseRepresentation
bin10011010110111111110…
…100111101000000100110
311201011220022010001101210
4103112333310331000212
5133244040441132402
62455054352532250
7165054432552543
oct23267764750046
94634808101353
101330363224102
114732273a2930
121959bbb51086
13985b67c5933
1448565d43bca
152491489b06c
hex135bfd3d026

1330363224102 has 128 divisors (see below), whose sum is σ = 3114909204480. Its totient is φ = 374519376000.

The previous prime is 1330363224067. The next prime is 1330363224191. The reversal of 1330363224102 is 2014223630331.

It is a self number, because there is not a number n which added to its sum of digits gives 1330363224102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25293243 + ... + 25345785.

It is an arithmetic number, because the mean of its divisors is an integer number (24335228160).

Almost surely, 21330363224102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1330363224102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557454602240).

1330363224102 is an abundant number, since it is smaller than the sum of its proper divisors (1784545980378).

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

1330363224102 is a wasteful number, since it uses less digits than its factorization.

1330363224102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52970.

The product of its (nonzero) digits is 15552, while the sum is 30.

Adding to 1330363224102 its reverse (2014223630331), we get a palindrome (3344586854433).

The spelling of 1330363224102 in words is "one trillion, three hundred thirty billion, three hundred sixty-three million, two hundred twenty-four thousand, one hundred two".

Divisors: 1 2 3 6 11 19 22 33 38 57 61 66 114 122 183 209 331 366 418 627 662 671 993 1159 1254 1342 1986 2013 2318 3477 3641 4026 6289 6954 7282 10923 12578 12749 18867 20191 21846 25498 37734 38247 40382 52543 60573 69179 76494 105086 121146 138358 157629 207537 222101 315258 383629 415074 444202 577973 666303 767258 998317 1150887 1155946 1332606 1733919 1996634 2301774 2994951 3205123 3467838 4219919 5989902 6410246 8439838 9615369 10981487 12659757 17391733 19230738 21962974 25319514 32944461 34783466 35256353 52175199 60897337 65888922 70512706 104350398 105769059 121794674 182692011 191309063 211538118 330442927 365384022 382618126 573927189 660885854 669870707 991328781 1060895713 1147854378 1339741414 1982657562 2009612121 2121791426 3182687139 3634872197 4019224242 6365374278 7269744394 10904616591 11669852843 20157018547 21809233182 23339705686 35009558529 40314037094 60471055641 70019117058 120942111282 221727204017 443454408034 665181612051 1330363224102