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234122011000 = 23531715787719
BaseRepresentation
bin1101101000001011000…
…0100110000101111000
3211101022100212102221121
43122002300212011320
512313440213323000
6255315411115024
722625522154433
oct3320260460570
9741270772847
10234122011000
1190321854099
123945aba2a74
1319101685027
14b48db6081a
156153dc4b1a
hex3682c26178

234122011000 has 128 divisors (see below), whose sum is σ = 583773091200. Its totient is φ = 87577651200.

The previous prime is 234122010973. The next prime is 234122011007. The reversal of 234122011000 is 110221432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (234122011007) 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, 2625141 + ... + 2712859.

It is an arithmetic number, because the mean of its divisors is an integer number (4560727275).

Almost surely, 2234122011000 is an apocalyptic number.

234122011000 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 234122011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291886545600).

234122011000 is an abundant number, since it is smaller than the sum of its proper divisors (349651080200).

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

234122011000 is a wasteful number, since it uses less digits than its factorization.

234122011000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87914 (or 87900 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 234122011000 its reverse (110221432), we get a palindrome (234232232432).

The spelling of 234122011000 in words is "two hundred thirty-four billion, one hundred twenty-two million, eleven thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 125 136 157 170 200 250 314 340 425 500 628 680 785 850 1000 1256 1570 1700 2125 2669 3140 3400 3925 4250 5338 6280 7850 8500 10676 13345 15700 17000 19625 21352 26690 31400 39250 53380 66725 78500 87719 106760 133450 157000 175438 266900 333625 350876 438595 533800 667250 701752 877190 1334500 1491223 1754380 2192975 2669000 2982446 3508760 4385950 5964892 7456115 8771900 10964875 11929784 13771883 14912230 17543800 21929750 27543766 29824460 37280575 43859500 55087532 59648920 68859415 74561150 87719000 110175064 137718830 149122300 186402875 234122011 275437660 298244600 344297075 372805750 468244022 550875320 688594150 745611500 936488044 1170610055 1377188300 1491223000 1721485375 1872976088 2341220110 2754376600 3442970750 4682440220 5853050275 6885941500 9364880440 11706100550 13771883000 23412201100 29265251375 46824402200 58530502750 117061005500 234122011000