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21401223204120 = 2335599497318287
BaseRepresentation
bin1001101110110110111000…
…10011101000110100011000
32210202221022001010111201220
410313123130103220310120
510301114201120012440
6113303330342212040
74336121155522464
oct467333423506430
983687261114656
1021401223204120
11690123162a721
12249784a424020
13bc3185447a16
1453db790b74a4
15271a655b68d0
hex1376dc4e8d18

21401223204120 has 128 divisors (see below), whose sum is σ = 65298947558400. Its totient is φ = 5609655796736.

The previous prime is 21401223204107. The next prime is 21401223204143. The reversal of 21401223204120 is 2140232210412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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, 67079617 + ... + 67397903.

It is an arithmetic number, because the mean of its divisors is an integer number (510148027800).

Almost surely, 221401223204120 is an apocalyptic number.

21401223204120 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 21401223204120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32649473779200).

21401223204120 is an abundant number, since it is smaller than the sum of its proper divisors (43897724354280).

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

21401223204120 is a wasteful number, since it uses less digits than its factorization.

21401223204120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327857 (or 327853 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 21401223204120 its reverse (2140232210412), we get a palindrome (23541455414532).

The spelling of 21401223204120 in words is "twenty-one trillion, four hundred one billion, two hundred twenty-three million, two hundred four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 59 60 118 120 177 236 295 354 472 590 708 885 1180 1416 1770 2360 3540 7080 9497 18994 28491 37988 47485 56982 75976 94970 113964 142455 189940 227928 284910 318287 379880 560323 569820 636574 954861 1120646 1139640 1273148 1591435 1680969 1909722 2241292 2546296 2801615 3182870 3361938 3819444 4482584 4774305 5603230 6365740 6723876 7638888 8404845 9548610 11206460 12731480 13447752 16809690 18778933 19097220 22412920 33619380 37557866 38194440 56336799 67238760 75115732 93894665 112673598 150231464 187789330 225347196 281683995 375578660 450694392 563367990 751157320 1126735980 2253471960 3022771639 6045543278 9068314917 12091086556 15113858195 18136629834 24182173112 30227716390 36273259668 45341574585 60455432780 72546519336 90683149170 120910865560 178343526701 181366298340 356687053402 362732596680 535030580103 713374106804 891717633505 1070061160206 1426748213608 1783435267010 2140122320412 2675152900515 3566870534020 4280244640824 5350305801030 7133741068040 10700611602060 21401223204120