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100120211000012 = 22733155726177411
BaseRepresentation
bin10110110000111100001101…
…100111001000101011001100
3111010111101202122112001101102
4112300330031213020223030
5101110332143004000022
6552534331233402232
730042306106605110
oct2660741547105314
9433441678461342
10100120211000012
11299a0819a87775
12b28bb74109378
1343b33abc69398
141aa1bb61a1740
15b89553053a92
hex5b0f0d9c8acc

100120211000012 has 96 divisors (see below), whose sum is σ = 201310006334976. Its totient is φ = 42680148825600.

The previous prime is 100120211000011. The next prime is 100120211000023. The reversal of 100120211000012 is 210000112021001.

It is a junction number, because it is equal to n+sod(n) for n = 100120210999957 and 100120211000002.

It is not an unprimeable number, because it can be changed into a prime (100120211000011) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 13509672587 + ... + 13509679997.

It is an arithmetic number, because the mean of its divisors is an integer number (2096979232656).

Almost surely, 2100120211000012 is an apocalyptic number.

It is an amenable number.

100120211000012 is an abundant number, since it is smaller than the sum of its proper divisors (101189795334964).

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

100120211000012 is a wasteful number, since it uses less digits than its factorization.

100120211000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10927 (or 10925 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 100120211000012 its reverse (210000112021001), we get a palindrome (310120323021013).

The spelling of 100120211000012 in words is "one hundred trillion, one hundred twenty billion, two hundred eleven million, twelve", and thus it is an aban number.

Divisors: 1 2 4 7 14 28 331 557 662 1114 1324 2228 2317 2617 3899 4634 5234 7411 7798 9268 10468 14822 15596 18319 29644 36638 51877 73276 103754 184367 207508 368734 737468 866227 1290569 1457669 1732454 2453041 2581138 2915338 3464908 4127927 4906082 5162276 5830676 6063589 8255854 9812164 10203683 12127178 16511708 17171287 19394587 20407366 24254356 28895489 34342574 38789174 40814732 57790978 68685148 77578348 115581956 135762109 271524218 482488439 543048436 964976878 1366343837 1929953756 2732687674 3377419073 5465375348 6419608297 6754838146 9564406859 10802784959 12839216594 13509676292 19128813718 21605569918 25678433188 38257627436 43211139836 44937258079 75619494713 89874516158 151238989426 179749032316 302477978852 3575721821429 7151443642858 14302887285716 25030052750003 50060105500006 100120211000012