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141011033112 = 23342634871699
BaseRepresentation
bin1000001101010011101…
…0011001110000011000
3111110222022010200110000
42003110322121300120
54302242311024422
6144440215453000
713121246001465
oct2032472316030
9443868120400
10141011033112
11548910632a4
12233b4387160
13103b3193041
146b79a0c66c
153a04881cac
hex20d4e99c18

141011033112 has 160 divisors (see below), whose sum is σ = 397511136000. Its totient is φ = 46701302976.

The previous prime is 141011033083. The next prime is 141011033123. The reversal of 141011033112 is 211330110141.

It is a happy number.

141011033112 is a `hidden beast` number, since 1 + 410 + 110 + 33 + 112 = 666.

It is a super-2 number, since 2×1410110331122 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 82995639 + ... + 82997337.

It is an arithmetic number, because the mean of its divisors is an integer number (2484444600).

Almost surely, 2141011033112 is an apocalyptic number.

141011033112 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 141011033112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198755568000).

141011033112 is an abundant number, since it is smaller than the sum of its proper divisors (256500102888).

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

141011033112 is a wasteful number, since it uses less digits than its factorization.

141011033112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2467 (or 2454 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 141011033112 its reverse (211330110141), we get a palindrome (352341143253).

The spelling of 141011033112 in words is "one hundred forty-one billion, eleven million, thirty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 263 324 487 526 648 789 974 1052 1461 1578 1699 1948 2104 2367 2922 3156 3398 3896 4383 4734 5097 5844 6312 6796 7101 8766 9468 10194 11688 13149 13592 14202 15291 17532 18936 20388 21303 26298 28404 30582 35064 39447 40776 42606 45873 52596 56808 61164 78894 85212 91746 105192 122328 128081 137619 157788 170424 183492 256162 275238 315576 366984 384243 446837 512324 550476 768486 827413 893674 1024648 1100952 1152729 1340511 1536972 1654826 1787348 2305458 2482239 2681022 3073944 3309652 3458187 3574696 4021533 4610916 4964478 5362044 6619304 6916374 7446717 8043066 9221832 9928956 10374561 10724088 12064599 13832748 14893434 16086132 19857912 20749122 22340151 24129198 27665496 29786868 32172264 36193797 41498244 44680302 48258396 59573736 67020453 72387594 82996488 89360604 96516792 134040906 144775188 178721208 217609619 268081812 289550376 435219238 536163624 652828857 870438476 1305657714 1740876952 1958486571 2611315428 3916973142 5222630856 5875459713 7833946284 11750919426 15667892568 17626379139 23501838852 35252758278 47003677704 70505516556 141011033112