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221011231000 = 23537195116183
BaseRepresentation
bin1100110111010101001…
…0111100000100011000
3210010110122121210220011
43031311102330010120
512110112333343000
6245310421411304
721652602316150
oct3156522740430
9703418553804
10221011231000
118580409501a
1236a00269b34
1317ac2366c41
14a9a87d9760
155b37d8e2ba
hex33754bc118

221011231000 has 128 divisors (see below), whose sum is σ = 591386664960. Its totient is φ = 75731760000.

The previous prime is 221011230983. The next prime is 221011231009. The reversal of 221011231000 is 132110122.

It is a super-2 number, since 2×2210112310002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221011231009) 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, 13648909 + ... + 13665091.

It is an arithmetic number, because the mean of its divisors is an integer number (4620208320).

Almost surely, 2221011231000 is an apocalyptic number.

221011231000 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 221011231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295693332480).

221011231000 is an abundant number, since it is smaller than the sum of its proper divisors (370375433960).

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

221011231000 is a wasteful number, since it uses less digits than its factorization.

221011231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18162 (or 18148 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 221011231000 its reverse (132110122), we get a palindrome (221143341122).

The spelling of 221011231000 in words is "two hundred twenty-one billion, eleven million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 1951 3500 3902 7000 7804 9755 13657 15608 16183 19510 27314 32366 39020 48775 54628 64732 68285 78040 80915 97550 109256 113281 129464 136570 161830 195100 226562 243875 273140 323660 341425 390200 404575 453124 487750 546280 566405 647320 682850 809150 906248 975500 1132810 1365700 1618300 1707125 1951000 2022875 2265620 2731400 2832025 3236600 3414250 4045750 4531240 5664050 6828500 8091500 11328100 13657000 14160125 16183000 22656200 28320250 31573033 56640500 63146066 113281000 126292132 157865165 221011231 252584264 315730330 442022462 631460660 789325825 884044924 1105056155 1262921320 1578651650 1768089848 2210112310 3157303300 3946629125 4420224620 5525280775 6314606600 7893258250 8840449240 11050561550 15786516500 22101123100 27626403875 31573033000 44202246200 55252807750 110505615500 221011231000