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100041321323112 = 2331310110929125739
BaseRepresentation
bin10110101111110010101111…
…011010111001101001101000
3111010012212010200200020100020
4112233302233122321221220
5101103034111224314422
6552434203142040440
730033514126453101
oct2657625732715150
9433185120606306
10100041321323112
11299703168a6894
12b278818119120
1343a8b18b8abb0
141a9c050a913a8
15b874872a995c
hex5afcaf6b9a68

100041321323112 has 128 divisors (see below), whose sum is σ = 274504274352000. Its totient is φ = 30197565158400.

The previous prime is 100041321323101. The next prime is 100041321323117. The reversal of 100041321323112 is 211323123140001.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (100041321323117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11128062 + ... + 17997677.

It is an arithmetic number, because the mean of its divisors is an integer number (2144564643375).

Almost surely, 2100041321323112 is an apocalyptic number.

100041321323112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

100041321323112 is an abundant number, since it is smaller than the sum of its proper divisors (174462953028888).

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

100041321323112 is a wasteful number, since it uses less digits than its factorization.

100041321323112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29125971 (or 29125967 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 100041321323112 its reverse (211323123140001), we get a palindrome (311364444463113).

The spelling of 100041321323112 in words is "one hundred trillion, forty-one billion, three hundred twenty-one million, three hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 101 104 109 156 202 218 303 312 327 404 436 606 654 808 872 1212 1308 1313 1417 2424 2616 2626 2834 3939 4251 5252 5668 7878 8502 10504 11009 11336 15756 17004 22018 31512 33027 34008 44036 66054 88072 132108 143117 264216 286234 429351 572468 858702 1144936 1717404 3434808 29125739 58251478 87377217 116502956 174754434 233005912 349508868 378634607 699017736 757269214 1135903821 1514538428 2271807642 2941699639 3029076856 3174705551 4543615284 5883399278 6349411102 8825098917 9087230568 9524116653 11766798556 12698822204 17650197834 19048233306 23533597112 25397644408 35300395668 38096466612 38242095307 41271172163 70600791336 76192933224 76484190614 82542344326 114726285921 123813516489 152968381228 165084688652 229452571842 247627032978 305936762456 320645260651 330169377304 458905143684 495254065956 641290521302 917810287368 961935781953 990508131912 1282581042604 1923871563906 2565162085208 3847743127812 4168388388463 7695486255624 8336776776926 12505165165389 16673553553852 25010330330778 33347107107704 50020660661556 100041321323112