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211121220002 = 27111943239023
BaseRepresentation
bin1100010010011111001…
…1100010100110100010
3202011221101211012022112
43010213303202212202
511424334013020002
6240553204235322
721152531521640
oct3044763424642
9664841735275
10211121220002
1181599474410
1234b0009bb42
1316ba73a9b24
14a30b108190
1557599aa852
hex3127ce29a2

211121220002 has 96 divisors (see below), whose sum is σ = 425505208320. Its totient is φ = 76111630560.

The previous prime is 211121219999. The next prime is 211121220007. The reversal of 211121220002 is 200022121112.

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

It is not an unprimeable number, because it can be changed into a prime (211121220007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5390663 + ... + 5429685.

It is an arithmetic number, because the mean of its divisors is an integer number (4432345920).

Almost surely, 2211121220002 is an apocalyptic number.

211121220002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

211121220002 is an abundant number, since it is smaller than the sum of its proper divisors (214383988318).

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

211121220002 is a wasteful number, since it uses less digits than its factorization.

211121220002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39148 (or 39105 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211121220002 its reverse (200022121112), we get a palindrome (411143341114).

The spelling of 211121220002 in words is "two hundred eleven billion, one hundred twenty-one million, two hundred twenty thousand, two".

Divisors: 1 2 7 11 14 19 22 38 43 77 86 133 154 209 266 301 418 473 602 817 946 1463 1634 1849 2926 3311 3698 5719 6622 8987 11438 12943 17974 20339 25886 35131 39023 40678 62909 70262 78046 125818 142373 245917 273161 284746 386441 429253 491834 546322 741437 772882 858506 1482874 1677989 2705087 3004771 3355978 5190059 5410174 6009542 8155807 10380118 11745923 16311614 18457879 23491846 31881791 36915758 57090649 63763582 72153527 114181298 129205153 144307054 223172537 258410306 350699701 446345074 505074689 701399402 793688797 1010149378 1370917013 1587377594 2454897907 2741834026 4909795814 5555821579 9596419091 11111643158 15080087143 19192838182 30160174286 105560610001 211121220002