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12100200022110 = 2353767370943867
BaseRepresentation
bin1011000000010100110000…
…0111111100000001011110
31120211202201202002121210110
42300011030013330001132
53041222202201201420
641422431040150450
72356132144106604
oct260051407740136
946752652077713
1012100200022110
113945736508532
121435124608426
1369a0757936b5
142db91d429874
1515eb499baee0
hexb014c1fc05e

12100200022110 has 128 divisors (see below), whose sum is σ = 30279364093440. Its totient is φ = 3091748673024.

The previous prime is 12100200022061. The next prime is 12100200022153. The reversal of 12100200022110 is 1122000200121.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 275816397 + ... + 275860263.

It is an arithmetic number, because the mean of its divisors is an integer number (236557531980).

Almost surely, 212100200022110 is an apocalyptic number.

12100200022110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100200022110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15139682046720).

12100200022110 is an abundant number, since it is smaller than the sum of its proper divisors (18179164071330).

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

12100200022110 is a wasteful number, since it uses less digits than its factorization.

12100200022110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47690.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 12100200022110 its reverse (1122000200121), we get a palindrome (13222200222231).

The spelling of 12100200022110 in words is "twelve trillion, one hundred billion, two hundred million, twenty-two thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 67 74 111 134 185 201 222 335 370 402 555 670 1005 1110 2010 2479 3709 4958 7418 7437 11127 12395 14874 18545 22254 24790 37090 37185 43867 55635 74370 87734 111270 131601 137233 219335 248503 263202 274466 411699 438670 497006 658005 686165 745509 823398 1242515 1316010 1372330 1491018 1623079 2058495 2485030 2939089 3246158 3727545 4116990 4869237 5878178 7455090 8115395 8817267 9194611 9738474 14695445 16230790 17634534 18389222 24346185 27583833 29390890 44086335 45973055 48692370 55167666 88172670 91946110 108746293 137919165 162702703 217492586 275838330 325405406 326238879 488108109 543731465 652477758 813513515 976216218 1087462930 1627027030 1631194395 2440540545 3262388790 4881081090 6020000011 10901081101 12040000022 18060000033 21802162202 30100000055 32703243303 36120000066 54505405505 60200000110 65406486606 90300000165 109010811010 163516216515 180600000330 327032433030 403340000737 806680001474 1210020002211 2016700003685 2420040004422 4033400007370 6050100011055 12100200022110