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11022011010120 = 23351152747158303
BaseRepresentation
bin1010000001100100001100…
…0011010000110001001000
31110000200201220020211211110
42200121003003100301020
52421041034304310440
635235235243530320
72215212464526435
oct240310303206110
943020656224743
1011022011010120
11356a454965670
1212a01812299a0
1361c4a962c5b6
142a167a980b8c
15141a93c60080
hexa06430d0c48

11022011010120 has 128 divisors (see below), whose sum is σ = 36072947773440. Its totient is φ = 2671935133440.

The previous prime is 11022011010119. The next prime is 11022011010173. The reversal of 11022011010120 is 2101011022011.

It is a super-3 number, since 3×110220110101203 (a number of 40 digits) contains 333 as substring.

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 = 11022011010096 and 11022011010105.

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, 69546889 + ... + 69705191.

It is an arithmetic number, because the mean of its divisors is an integer number (281819904480).

Almost surely, 211022011010120 is an apocalyptic number.

11022011010120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11022011010120 is an abundant number, since it is smaller than the sum of its proper divisors (25050936763320).

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

11022011010120 is a wasteful number, since it uses less digits than its factorization.

11022011010120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 211075 (or 211071 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11022011010120 its reverse (2101011022011), we get a palindrome (13123022032131).

The spelling of 11022011010120 in words is "eleven trillion, twenty-two billion, eleven million, ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 52747 105494 158241 158303 210988 263735 316482 316606 421976 474909 527470 580217 632964 633212 791205 791515 949818 1054940 1160434 1265928 1266424 1582410 1583030 1740651 1741333 1899636 2109880 2320868 2374545 2901085 3164820 3166060 3481302 3482666 3799272 4641736 4749090 5223999 5802170 6329640 6332120 6962604 6965332 8703255 8706665 9498180 10447998 11604340 13925208 13930664 17406510 17413330 18996360 20895996 23208680 26119995 34813020 34826660 41791992 52239990 69626040 69653320 104479980 208959960 8350008341 16700016682 25050025023 33400033364 41750041705 50100050046 66800066728 83500083410 91850091751 100200100092 125250125115 167000166820 183700183502 200400200184 250500250230 275550275253 334000333640 367400367004 459250458755 501000500460 551100550506 734800734008 918500917510 1002001000920 1102201101012 1377751376265 1837001835020 2204402202024 2755502752530 3674003670040 5511005505060 11022011010120