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10022044541130 = 2325199661846563
BaseRepresentation
bin1001000111010111000001…
…1001111010000011001010
31022111002122111220222020200
42101311300121322003022
52303200121400304010
633152021432033030
72053032415013436
oct221656031720312
938432574828220
1010022044541130
113214363962056
12115a40a532776
135790c82a3cbb
142690d8b859c6
15125a6a41dcc0
hex91d7067a0ca

10022044541130 has 96 divisors (see below), whose sum is σ = 26227907222400. Its totient is φ = 2655089331840.

The previous prime is 10022044541111. The next prime is 10022044541153. The reversal of 10022044541130 is 3114544022001.

10022044541130 is a `hidden beast` number, since 1 + 0 + 0 + 2 + 204 + 45 + 411 + 3 + 0 = 666.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10022044541094 and 10022044541103.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11415229 + ... + 12261791.

It is an arithmetic number, because the mean of its divisors is an integer number (273207366900).

Almost surely, 210022044541130 is an apocalyptic number.

10022044541130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10022044541130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13113953611200).

10022044541130 is an abundant number, since it is smaller than the sum of its proper divisors (16205862681270).

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

10022044541130 is a wasteful number, since it uses less digits than its factorization.

10022044541130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847436 (or 847433 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 10022044541130 its reverse (3114544022001), we get a palindrome (13136588563131).

The spelling of 10022044541130 in words is "ten trillion, twenty-two billion, forty-four million, five hundred forty-one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 199 398 597 661 995 1194 1322 1791 1983 1990 2985 3305 3582 3966 5949 5970 6610 8955 9915 11898 17910 19830 29745 59490 131539 263078 394617 657695 789234 846563 1183851 1315390 1693126 1973085 2367702 2539689 3946170 4232815 5079378 5919255 7619067 8465630 11838510 12698445 15238134 25396890 38095335 76190670 168466037 336932074 505398111 559578143 842330185 1010796222 1119156286 1516194333 1678734429 1684660370 2526990555 2797890715 3032388666 3357468858 5036203287 5053981110 5595781430 7580971665 8393672145 10072406574 15161943330 16787344290 25181016435 50362032870 111356050457 222712100914 334068151371 556780252285 668136302742 1002204454113 1113560504570 1670340756855 2004408908226 3340681513710 5011022270565 10022044541130