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23021003221000 = 235367463774099
BaseRepresentation
bin1010011101111111111101…
…01110000010100000001000
310000111210020021222221211221
411032333332232002200020
511004134003311033000
6120543411453331424
74564132630510321
oct516777656024010
9100453207887757
1023021003221000
1173761751865a4
1226b975b496b74
13cacb432b5855
14598318785448
1529dc6846161a
hex14effeb82808

23021003221000 has 128 divisors (see below), whose sum is σ = 54685693296000. Its totient is φ = 9068883859200.

The previous prime is 23021003220931. The next prime is 23021003221019. The reversal of 23021003221000 is 12230012032.

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, 310641951 + ... + 310716049.

It is an arithmetic number, because the mean of its divisors is an integer number (427231978875).

Almost surely, 223021003221000 is an apocalyptic number.

23021003221000 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 23021003221000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27342846648000).

23021003221000 is an abundant number, since it is smaller than the sum of its proper divisors (31664690075000).

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

23021003221000 is a wasteful number, since it uses less digits than its factorization.

23021003221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78824 (or 78810 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 23021003221000 its reverse (12230012032), we get a palindrome (23033233233032).

The spelling of 23021003221000 in words is "twenty-three trillion, twenty-one billion, three million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 67 100 125 134 200 250 268 335 500 536 670 1000 1340 1675 2680 3350 4637 6700 8375 9274 13400 16750 18548 23185 33500 37096 46370 67000 74099 92740 115925 148198 185480 231850 296396 310679 370495 463700 579625 592792 621358 740990 927400 1159250 1242716 1481980 1553395 1852475 2318500 2485432 2963960 3106790 3704950 4637000 4964633 6213580 7409900 7766975 9262375 9929266 12427160 14819800 15533950 18524750 19858532 24823165 31067900 37049500 38834875 39717064 49646330 62135800 74099000 77669750 99292660 124115825 155339500 198585320 248231650 310679000 343597063 496463300 620579125 687194126 992926600 1241158250 1374388252 1717985315 2482316500 2748776504 3435970630 4964633000 6871941260 8589926575 13743882520 17179853150 23021003221 34359706300 42949632875 46042006442 68719412600 85899265750 92084012884 115105016105 171798531500 184168025768 230210032210 343597063000 460420064420 575525080525 920840128840 1151050161050 2302100322100 2877625402625 4604200644200 5755250805250 11510501610500 23021003221000