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1013232221000 = 23534197254773
BaseRepresentation
bin11101011111010010101…
…10001011101101001000
310120212022220011220021022
432233221112023231020
5113100044422033000
62053250014532012
7133126560526556
oct16575126135510
93525286156238
101013232221000
113607891a042a
12144455507008
13747167c66cc
143707d980bd6
151b553289585
hexebe958bb48

1013232221000 has 128 divisors (see below), whose sum is σ = 2453840494560. Its totient is φ = 391329792000.

The previous prime is 1013232220993. The next prime is 1013232221011. The reversal of 1013232221000 is 1222323101.

It can be written as a sum of positive squares in 16 ways, for example, as 44452662244 + 968779558756 = 210838^2 + 984266^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1013232221000.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3849614 + ... + 4104386.

Almost surely, 21013232221000 is an apocalyptic number.

1013232221000 is a gapful number since it is divisible by the number (10) 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 1013232221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1226920247280).

1013232221000 is an abundant number, since it is smaller than the sum of its proper divisors (1440608273560).

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

1013232221000 is a wasteful number, since it uses less digits than its factorization.

1013232221000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 254932 (or 254918 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 1013232221000 its reverse (1222323101), we get a palindrome (1014454544101).

The spelling of 1013232221000 in words is "one trillion, thirteen billion, two hundred thirty-two million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 97 100 125 164 194 200 205 250 328 388 410 485 500 776 820 970 1000 1025 1640 1940 2050 2425 3880 3977 4100 4850 5125 7954 8200 9700 10250 12125 15908 19400 19885 20500 24250 31816 39770 41000 48500 79540 97000 99425 159080 198850 254773 397700 497125 509546 795400 994250 1019092 1273865 1988500 2038184 2547730 3977000 5095460 6369325 10190920 10445693 12738650 20891386 24712981 25477300 31846625 41782772 49425962 50954600 52228465 63693250 83565544 98851924 104456930 123564905 127386500 197703848 208913860 247129810 254773000 261142325 417827720 494259620 522284650 617824525 988519240 1013232221 1044569300 1235649050 1305711625 2026464442 2089138600 2471298100 2611423250 3089122625 4052928884 4942596200 5066161105 5222846500 6178245250 8105857768 10132322210 10445693000 12356490500 20264644420 24712981000 25330805525 40529288840 50661611050 101323222100 126654027625 202646444200 253308055250 506616110500 1013232221000