Search a number
-
+
101111212101220 = 22541331942618719
BaseRepresentation
bin10110111111010111001001…
…111000010100111001100100
3111021000010201012221001102121
4112333113021320110321210
5101223101230244214340
6555013503302315324
730204021044150446
oct2677271170247144
9437003635831377
10101111212101220
112a24302a2a3822
12b410044428b44
134455991a7bc29
141ad7b473dc496
15ba520475994a
hex5bf5c9e14e64

101111212101220 has 96 divisors (see below), whose sum is σ = 217653970867200. Its totient is φ = 39432364876800.

The previous prime is 101111212101139. The next prime is 101111212101233. The reversal of 101111212101220 is 22101212111101.

It is a junction number, because it is equal to n+sod(n) for n = 101111212101194 and 101111212101203.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11596648021 + ... + 11596656739.

It is an arithmetic number, because the mean of its divisors is an integer number (2267228863200).

Almost surely, 2101111212101220 is an apocalyptic number.

101111212101220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101111212101220 is an abundant number, since it is smaller than the sum of its proper divisors (116542758765980).

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

101111212101220 is a wasteful number, since it uses less digits than its factorization.

101111212101220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16349 (or 16347 counting only the distinct ones).

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

Adding to 101111212101220 its reverse (22101212111101), we get a palindrome (123212424212321).

The spelling of 101111212101220 in words is "one hundred one trillion, one hundred eleven billion, two hundred twelve million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 3319 4261 6638 8522 8719 13276 16595 17044 17438 21305 33190 34876 42610 43595 66380 85220 87190 136079 174380 174701 272158 349402 357479 544316 680395 698804 714958 873505 1360790 1429916 1747010 1787395 2721580 3494020 3574790 7149580 14142259 28284518 28938361 37151659 56569036 57876722 70711295 74303318 115753444 141422590 144691805 148606636 185758295 282845180 289383610 371516590 578767220 579832619 743033180 1159665238 1186472801 1523218019 2319330476 2372945602 2899163095 3046436038 4745891204 5798326190 5932364005 6092872076 7616090095 11596652380 11864728010 15232180190 23729456020 30464360380 123306356221 246612712442 493225424884 616531781105 1233063562210 2466127124420 5055560605061 10111121210122 20222242420244 25277803025305 50555606050610 101111212101220