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141001211132012 = 227211683296932251
BaseRepresentation
bin100000000011110101100111…
…000110100011100001101100
3200111020120202211121211212102
4200003311213012203201230
5121440130440022211022
61215515021232154232
741462000312346200
oct4003654706434154
9614216684554772
10141001211132012
1140a22306876590
1213992b90398978
13608a48489a5aa
1426b66d0520b00
151147b7223ba92
hex803d671a386c

141001211132012 has 144 divisors (see below), whose sum is σ = 313706374692480. Its totient is φ = 54834927840000.

The previous prime is 141001211132003. The next prime is 141001211132017. The reversal of 141001211132012 is 210231112100141.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (141001211132017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4371978887 + ... + 4372011137.

It is an arithmetic number, because the mean of its divisors is an integer number (2178516490920).

Almost surely, 2141001211132012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 141001211132012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156853187346240).

141001211132012 is an abundant number, since it is smaller than the sum of its proper divisors (172705163560468).

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

141001211132012 is a wasteful number, since it uses less digits than its factorization.

141001211132012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35932 (or 35923 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 20.

Adding to 141001211132012 its reverse (210231112100141), we get a palindrome (351232323232153).

The spelling of 141001211132012 in words is "one hundred forty-one trillion, one billion, two hundred eleven million, one hundred thirty-two thousand, twelve".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 683 1078 1366 2156 2732 2969 4781 5938 7513 9562 11876 15026 19124 20783 30052 32251 32659 33467 41566 52591 64502 65318 66934 83132 105182 129004 130636 133868 145481 210364 225757 228613 290962 354761 368137 451514 457226 581924 709522 736274 903028 914452 1419044 1472548 1580299 1600291 2027827 2483327 3160598 3200582 4055654 4966654 6321196 6401164 8111308 9933308 14194789 17383289 22027433 22306097 28389578 34766578 44054866 44612194 56779156 69533156 88109732 89224388 95753219 99363523 154192031 156142679 191506438 198727046 242301763 308384062 312285358 383012876 397454092 484603526 616768124 624570716 670272533 969207052 1053285409 1079344217 1092998753 1340545066 1696112341 2106570818 2158688434 2185997506 2681090132 3392224682 4213141636 4317376868 4371995012 4691907731 6784449364 7372997863 9383815462 11872786387 14745995726 18767630924 23745572774 29491991452 47491145548 51610985041 65399448577 103221970082 130798897154 206443940164 261597794308 457796140039 719393934347 915592280078 1438787868694 1831184560156 2877575737388 3204572980273 5035757540429 6409145960546 10071515080858 12818291921092 20143030161716 35250302783003 70500605566006 141001211132012