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130022121000 = 2335355197853
BaseRepresentation
bin111100100010111101…
…1000001111000101000
3110102121110120002221010
41321011323001320220
54112241130333000
6135421545143520
712252032536032
oct1710573017050
9412543502833
10130022121000
1150162108a52
122124818aba0
13c35164b495
1464163c6c52
1535aec82d50
hex1e45ec1e28

130022121000 has 128 divisors (see below), whose sum is σ = 405794188800. Its totient is φ = 34661868800.

The previous prime is 130022120993. The next prime is 130022121011. The reversal of 130022121000 is 121220031.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 16553074 + ... + 16560926.

It is an arithmetic number, because the mean of its divisors is an integer number (3170267100).

Almost surely, 2130022121000 is an apocalyptic number.

130022121000 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 130022121000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202897094400).

130022121000 is an abundant number, since it is smaller than the sum of its proper divisors (275772067800).

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

130022121000 is a wasteful number, since it uses less digits than its factorization.

130022121000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13396 (or 13382 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 130022121000 its reverse (121220031), we get a palindrome (130143341031).

The spelling of 130022121000 in words is "one hundred thirty billion, twenty-two million, one hundred twenty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 5519 7853 11038 15706 16557 22076 23559 27595 31412 33114 39265 44152 47118 55190 62824 66228 78530 82785 94236 110380 117795 132456 137975 157060 165570 188472 196325 220760 235590 275950 314120 331140 392650 413925 471180 551900 588975 662280 689875 785300 827850 942360 981625 1103800 1177950 1379750 1570600 1655700 1963250 2069625 2355900 2759500 2944875 3311400 3926500 4139250 4711800 5519000 5889750 7853000 8278500 11779500 16557000 23559000 43340707 86681414 130022121 173362828 216703535 260044242 346725656 433407070 520088484 650110605 866814140 1040176968 1083517675 1300221210 1733628280 2167035350 2600442420 3250553025 4334070700 5200884840 5417588375 6501106050 8668141400 10835176750 13002212100 16252765125 21670353500 26004424200 32505530250 43340707000 65011060500 130022121000