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10232221301000 = 2353232931518359
BaseRepresentation
bin1001010011100101111111…
…1010100111100100001000
31100020012011002120121211022
42110321133322213210020
52320121042123113000
633432341221252012
72104152661004336
oct224713772474410
940205132517738
1010232221301000
1132955081975a6
1211930a6264008
13592b81abb77a
1427535667cb56
1512b26c019585
hex94e5fea7908

10232221301000 has 128 divisors (see below), whose sum is σ = 25069702694400. Its totient is φ = 3901572716800.

The previous prime is 10232221300993. The next prime is 10232221301011. The reversal of 10232221301000 is 10312223201.

It is a super-5 number, since 5×102322213010005 (a number of 66 digits) contains 55555 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10232221301000.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5979821 + ... + 7498179.

It is an arithmetic number, because the mean of its divisors is an integer number (195857052300).

Almost surely, 210232221301000 is an apocalyptic number.

10232221301000 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 10232221301000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12534851347200).

10232221301000 is an abundant number, since it is smaller than the sum of its proper divisors (14837481393400).

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

10232221301000 is a wasteful number, since it uses less digits than its factorization.

10232221301000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1518696 (or 1518682 counting only the distinct ones).

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

Adding to 10232221301000 its reverse (10312223201), we get a palindrome (10242533524201).

The spelling of 10232221301000 in words is "ten trillion, two hundred thirty-two billion, two hundred twenty-one million, three hundred one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 92 100 115 125 184 200 230 250 293 460 500 575 586 920 1000 1150 1172 1465 2300 2344 2875 2930 4600 5750 5860 6739 7325 11500 11720 13478 14650 23000 26956 29300 33695 36625 53912 58600 67390 73250 134780 146500 168475 269560 293000 336950 673900 842375 1347800 1518359 1684750 3036718 3369500 6073436 6739000 7591795 12146872 15183590 30367180 34922257 37958975 60734360 69844514 75917950 139689028 151835900 174611285 189794875 279378056 303671800 349222570 379589750 444879187 698445140 759179500 873056425 889758374 1396890280 1518359000 1746112850 1779516748 2224395935 3492225700 3559033496 4365282125 4448791870 6984451400 8730564250 8897583740 10232221301 11121979675 17461128500 17795167480 20464442602 22243959350 34922257000 40928885204 44487918700 51161106505 55609898375 81857770408 88975837400 102322213010 111219796750 204644426020 222439593500 255805532525 409288852040 444879187000 511611065050 1023222130100 1279027662625 2046444260200 2558055325250 5116110650500 10232221301000