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201211112102 = 271113990110151
BaseRepresentation
bin1011101101100100011…
…1011110101010100110
3201020100202012112222012
42323121013132222212
511244040021041402
6232233552234222
720352125143040
oct2733107365246
9636322175865
10201211112102
11783734776a0
1232bb523b972
1315c88204460
149a4aca4a90
155379957452
hex2ed91deaa6

201211112102 has 64 divisors (see below), whose sum is σ = 405317219328. Its totient is φ = 72349200000.

The previous prime is 201211112101. The next prime is 201211112117.

201211112102 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2012111121022 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201211112101) 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, 19816727 + ... + 19826877.

It is an arithmetic number, because the mean of its divisors is an integer number (6333081552).

Almost surely, 2201211112102 is an apocalyptic number.

201211112102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

201211112102 is an abundant number, since it is smaller than the sum of its proper divisors (204106107226).

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

201211112102 is a wasteful number, since it uses less digits than its factorization.

201211112102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20085.

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

It can be divided in two parts, 201211 and 112102, that added together give a palindrome (313313).

The spelling of 201211112102 in words is "two hundred one billion, two hundred eleven million, one hundred twelve thousand, one hundred two".

Divisors: 1 2 7 11 13 14 22 26 77 91 143 154 182 286 1001 2002 9901 10151 19802 20302 69307 71057 108911 111661 128713 131963 138614 142114 217822 223322 257426 263926 762377 781627 900991 923741 1415843 1451593 1524754 1563254 1801982 1847482 2831686 2903186 9910901 10161151 19821802 20322302 100505051 201010102 703535357 1105555561 1306565663 1407070714 2211111122 2613131326 7738888927 9145959641 14372222293 15477777854 18291919282 28744444586 100605556051 201211112102