Search a number
-
+
12211112020100 = 2252733152702253
BaseRepresentation
bin1011000110110001111011…
…1111101000100010000100
31121020101000101120220012212
42301230132333220202010
53100031324134120400
641545412445202552
72400136511406410
oct261543677504204
947211011526185
1012211112020100
113988781435194
121452718860458
136a766cbc8086
143030417add40
1516298bbb0335
hexb1b1efe8884

12211112020100 has 72 divisors (see below), whose sum is σ = 30375049497408. Its totient is φ = 4174018358400.

The previous prime is 12211112020039. The next prime is 12211112020169. The reversal of 12211112020100 is 102021111221.

12211112020100 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 2×122111120201002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 26119427 + ... + 26582826.

It is an arithmetic number, because the mean of its divisors is an integer number (421875687464).

Almost surely, 212211112020100 is an apocalyptic number.

12211112020100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12211112020100 is an abundant number, since it is smaller than the sum of its proper divisors (18163937477308).

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

12211112020100 is a wasteful number, since it uses less digits than its factorization.

12211112020100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52702605 (or 52702598 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 12211112020100 its reverse (102021111221), we get a palindrome (12313133131321).

The spelling of 12211112020100 in words is "twelve trillion, two hundred eleven billion, one hundred twelve million, twenty thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 331 350 662 700 1324 1655 2317 3310 4634 6620 8275 9268 11585 16550 23170 33100 46340 57925 115850 231700 52702253 105404506 210809012 263511265 368915771 527022530 737831542 1054045060 1317556325 1475663084 1844578855 2635112650 3689157710 5270225300 7378315420 9222894275 17444445743 18445788550 34888891486 36891577100 69777782972 87222228715 122111120201 174444457430 244222240402 348888914860 436111143575 488444480804 610555601005 872222287150 1221111202010 1744444574300 2442222404020 3052778005025 6105556010050 12211112020100