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133101020112 = 243191811974093
BaseRepresentation
bin111101111110101110…
…0000110001111010000
3110201120001001101111120
41323331130012033100
54140042330120422
6141051252442240
712421240001214
oct1737534061720
9421501041446
10133101020112
11514a2068475
1221967319380
13c722498c88
14662928a944
1536e020e45c
hex1efd7063d0

133101020112 has 160 divisors (see below), whose sum is σ = 365877832320. Its totient is φ = 41577338880.

The previous prime is 133101020047. The next prime is 133101020137. The reversal of 133101020112 is 211020101331.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 133101020091 and 133101020100.

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, 32517138 + ... + 32521230.

It is an arithmetic number, because the mean of its divisors is an integer number (2286736452).

Almost surely, 2133101020112 is an apocalyptic number.

133101020112 is a gapful number since it is divisible by the number (12) 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 133101020112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182938916160).

133101020112 is an abundant number, since it is smaller than the sum of its proper divisors (232776812208).

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

133101020112 is a wasteful number, since it uses less digits than its factorization.

133101020112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4501 (or 4495 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 133101020112 its reverse (211020101331), we get a palindrome (344121121443).

The spelling of 133101020112 in words is "one hundred thirty-three billion, one hundred one million, twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 48 57 76 114 152 181 197 228 304 362 394 456 543 591 724 788 912 1086 1182 1448 1576 2172 2364 2896 3152 3439 3743 4093 4344 4728 6878 7486 8186 8688 9456 10317 11229 12279 13756 14972 16372 20634 22458 24558 27512 29944 32744 35657 41268 44916 49116 55024 59888 65488 71314 77767 82536 89832 98232 106971 142628 155534 165072 179664 196464 213942 233301 285256 311068 427884 466602 570512 622136 677483 740833 806321 855768 933204 1244272 1354966 1481666 1612642 1711536 1866408 2032449 2222499 2418963 2709932 2963332 3225284 3732816 4064898 4444998 4837926 5419864 5926664 6450568 8129796 8889996 9675852 10839728 11853328 12901136 14075827 15320099 16259592 17779992 19351704 28151654 30640198 32519184 35559984 38703408 42227481 45960297 56303308 61280396 84454962 91920594 112606616 122560792 145944101 168909924 183841188 225213232 245121584 291888202 337819848 367682376 437832303 583776404 675639696 735364752 875664606 1167552808 1751329212 2335105616 2772937919 3502658424 5545875838 7005316848 8318813757 11091751676 16637627514 22183503352 33275255028 44367006704 66550510056 133101020112