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21352525201230 = 23517439400723801
BaseRepresentation
bin1001101101011100001011…
…01011011111111101001110
32210121021121012020122101020
410312232011223133331032
510244314432422414410
6113225114211055010
74332445323365616
oct466560553377516
983537535218336
1021352525201230
1168926118a9343
12248a3195a1466
13bbb6c4361cb2
1453b679667a46
152706651a8a70
hex136b85adff4e

21352525201230 has 128 divisors (see below), whose sum is σ = 54399992739840. Its totient is φ = 5345298739200.

The previous prime is 21352525201223. The next prime is 21352525201237. The reversal of 21352525201230 is 3210252525312.

It is an interprime number because it is at equal distance from previous prime (21352525201223) and next prime (21352525201237).

It is a junction number, because it is equal to n+sod(n) for n = 21352525201191 and 21352525201200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21352525201237) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 897115330 + ... + 897139130.

It is an arithmetic number, because the mean of its divisors is an integer number (424999943280).

Almost surely, 221352525201230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21352525201230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27199996369920).

21352525201230 is an abundant number, since it is smaller than the sum of its proper divisors (33047467538610).

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

21352525201230 is a wasteful number, since it uses less digits than its factorization.

21352525201230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28274.

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 21352525201230 its reverse (3210252525312), we get a palindrome (24562777726542).

The spelling of 21352525201230 in words is "twenty-one trillion, three hundred fifty-two billion, five hundred twenty-five million, two hundred one thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 17 30 34 51 85 102 170 255 439 510 878 1317 2195 2634 4007 4390 6585 7463 8014 12021 13170 14926 20035 22389 23801 24042 37315 40070 44778 47602 60105 68119 71403 74630 111945 119005 120210 136238 142806 204357 223890 238010 340595 357015 404617 408714 681190 714030 809234 1021785 1213851 1759073 2023085 2043570 2427702 3518146 4046170 5277219 6069255 8795365 10448639 10554438 12138510 17590730 20897278 26386095 29904241 31345917 52243195 52772190 59808482 62691834 89712723 95370607 104486390 149521205 156729585 177626863 179425446 190741214 286111821 299042410 313459170 355253726 448563615 476853035 532880589 572223642 888134315 897127230 953706070 1065761178 1430559105 1621300319 1776268630 2664402945 2861118210 3242600638 4863900957 5328805890 8106501595 9727801914 16213003190 24319504785 41867696473 48639009570 83735392946 125603089419 209338482365 251206178838 418676964730 628015447095 711750840041 1256030894190 1423501680082 2135252520123 3558754200205 4270505040246 7117508400410 10676262600615 21352525201230