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2126022233140 = 2251389108784523
BaseRepresentation
bin11110111100000000110…
…011001100110000110100
321112020122010220121021101
4132330000303030300310
5234313043142430030
64304403042455444
7306412545545341
oct36740063146064
97466563817241
102126022233140
1174a706141893
122a4054664584
131256383001b0
1474c859517c8
153a481a0d7ca
hex1ef00cccc34

2126022233140 has 96 divisors (see below), whose sum is σ = 4866634967040. Its totient is φ = 775449455616.

The previous prime is 2126022233131. The next prime is 2126022233177. The reversal of 2126022233140 is 413322206212.

It is a junction number, because it is equal to n+sod(n) for n = 2126022233099 and 2126022233108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25110919 + ... + 25195441.

It is an arithmetic number, because the mean of its divisors is an integer number (50694114240).

Almost surely, 22126022233140 is an apocalyptic number.

2126022233140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2126022233140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2433317483520).

2126022233140 is an abundant number, since it is smaller than the sum of its proper divisors (2740612733900).

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

2126022233140 is a wasteful number, since it uses less digits than its factorization.

2126022233140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85721 (or 85719 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 2126022233140 its reverse (413322206212), we get a palindrome (2539344439352).

The spelling of 2126022233140 in words is "two trillion, one hundred twenty-six billion, twenty-two million, two hundred thirty-three thousand, one hundred forty".

Divisors: 1 2 4 5 10 13 20 26 52 65 89 130 178 260 356 445 890 1087 1157 1780 2174 2314 4348 4628 5435 5785 10870 11570 14131 21740 23140 28262 56524 70655 84523 96743 141310 169046 193486 282620 338092 386972 422615 483715 845230 967430 1098799 1257659 1690460 1934860 2197598 2515318 4395196 5030636 5493995 6288295 7522547 10987990 12576590 15045094 21975980 25153180 30090188 37612735 75225470 91876501 97793111 150450940 183753002 195586222 367506004 391172444 459382505 488965555 918765010 977931110 1194394513 1837530020 1955862220 2388789026 4777578052 5971972565 8177008589 11943945130 16354017178 23887890260 32708034356 40885042945 81770085890 106301111657 163540171780 212602223314 425204446628 531505558285 1063011116570 2126022233140