Search a number
-
+
11022110113020 = 2235199679998917
BaseRepresentation
bin1010000001100100100011…
…1101010011110011111100
31110000200222210201210110020
42200121020331103303330
52421041240142104040
635235253144012140
72215215110064246
oct240311075236374
943020883653406
1011022110113020
11356a4a58a4096
1212a01aa461050
1361c4c401a976
142a1689bbb096
15141a9c7d8cd0
hexa0648f53cfc

11022110113020 has 96 divisors (see below), whose sum is σ = 32489608166400. Its totient is φ = 2784242605824.

The previous prime is 11022110112989. The next prime is 11022110113037. The reversal of 11022110113020 is 2031101122011.

11022110113020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×110221101130202 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

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, 10534602 + ... + 11533518.

It is an arithmetic number, because the mean of its divisors is an integer number (338433418400).

Almost surely, 211022110113020 is an apocalyptic number.

11022110113020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022110113020 is an abundant number, since it is smaller than the sum of its proper divisors (21467498053380).

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

11022110113020 is a wasteful number, since it uses less digits than its factorization.

11022110113020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1008627 (or 1008625 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 11022110113020 its reverse (2031101122011), we get a palindrome (13053211235031).

The spelling of 11022110113020 in words is "eleven trillion, twenty-two billion, one hundred ten million, one hundred thirteen thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 76 95 114 190 228 285 380 570 1140 9679 19358 29037 38716 48395 58074 96790 116148 145185 183901 193580 290370 367802 551703 580740 735604 919505 998917 1103406 1839010 1997834 2206812 2758515 2996751 3678020 3995668 4994585 5517030 5993502 9989170 11034060 11987004 14983755 18979423 19978340 29967510 37958846 56938269 59935020 75917692 94897115 113876538 189794230 227753076 284691345 379588460 569382690 1138765380 9668517643 19337035286 29005552929 38674070572 48342588215 58011105858 96685176430 116022211716 145027764645 183701835217 193370352860 290055529290 367403670434 551105505651 580111058580 734807340868 918509176085 1102211011302 1837018352170 2204422022604 2755527528255 3674036704340 5511055056510 11022110113020