Search a number
-
+
2011120100220 = 2235711435307381
BaseRepresentation
bin11101010001000000000…
…110010110001101111100
321010021001102021110201210
4131101000012112031330
5230422233221201340
64135521255204420
7265204300540230
oct35210006261574
97107042243653
102011120100220
11705a02959760
12285928076710
1311785631c42a
146d4a56a45c0
15374a9392180
hex1d44019637c

2011120100220 has 96 divisors (see below), whose sum is σ = 7020637456896. Its totient is φ = 417895084800.

The previous prime is 2011120100183. The next prime is 2011120100221. The reversal of 2011120100220 is 220010211102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 2011120100196 and 2011120100205.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2011120100221) 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, 217649071 + ... + 217658310.

It is an arithmetic number, because the mean of its divisors is an integer number (73131640176).

Almost surely, 22011120100220 is an apocalyptic number.

2011120100220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2011120100220 is an abundant number, since it is smaller than the sum of its proper divisors (5009517356676).

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

2011120100220 is a wasteful number, since it uses less digits than its factorization.

2011120100220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435307411 (or 435307409 counting only the distinct ones).

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

Adding to 2011120100220 its reverse (220010211102), we get a palindrome (2231130311322).

The spelling of 2011120100220 in words is "two trillion, eleven billion, one hundred twenty million, one hundred thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 11 12 14 15 20 21 22 28 30 33 35 42 44 55 60 66 70 77 84 105 110 132 140 154 165 210 220 231 308 330 385 420 462 660 770 924 1155 1540 2310 4620 435307381 870614762 1305922143 1741229524 2176536905 2611844286 3047151667 4353073810 4788381191 5223688572 6094303334 6529610715 8706147620 9141455001 9576762382 12188606668 13059221430 14365143573 15235758335 18282910002 19153524764 23941905955 26118442860 28730287146 30471516670 33518668337 36565820004 45707275005 47883811910 57460574292 60943033340 67037336674 71825717865 91414550010 95767623820 100556005011 134074673348 143651435730 167593341685 182829100020 201112010022 287302871460 335186683370 402224020044 502780025055 670373366740 1005560050110 2011120100220