Search a number
-
+
21001221102210 = 23537711381192961
BaseRepresentation
bin1001100011001101110100…
…10100101101101010000010
32202100200211012121100110120
410301212322110231222002
510223041000100232320
6112355454445041110
74265200556665446
oct461467224555202
982320735540416
1021001221102210
1167676278a2108
122432216556196
13b94539551a5b
14528670928826
15266453905440
hex1319ba52da82

21001221102210 has 128 divisors (see below), whose sum is σ = 52532542960128. Its totient is φ = 5368301568000.

The previous prime is 21001221102193. The next prime is 21001221102233. The reversal of 21001221102210 is 1220112210012.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21001221102210.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 108740130 + ... + 108933090.

It is an arithmetic number, because the mean of its divisors is an integer number (410410491876).

Almost surely, 221001221102210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21001221102210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26266271480064).

21001221102210 is an abundant number, since it is smaller than the sum of its proper divisors (31531321857918).

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

21001221102210 is a wasteful number, since it uses less digits than its factorization.

21001221102210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194460.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 21001221102210 its reverse (1220112210012), we get a palindrome (22221333312222).

The spelling of 21001221102210 in words is "twenty-one trillion, one billion, two hundred twenty-one million, one hundred two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 71 74 111 142 185 213 222 355 370 426 555 710 1065 1110 1381 2130 2627 2762 4143 5254 6905 7881 8286 13135 13810 15762 20715 26270 39405 41430 51097 78810 98051 102194 153291 192961 196102 255485 294153 306582 385922 490255 510970 578883 588306 766455 964805 980510 1157766 1470765 1532910 1929610 2894415 2941530 3627887 5788830 7139557 7255774 10883661 13700231 14279114 18139435 21418671 21767322 27400462 35697785 36278870 41100693 42837342 54418305 68501155 71395570 82201386 107093355 108836610 137002310 205503465 214186710 266479141 411006930 506908547 532958282 799437423 1013817094 1332395705 1520725641 1598874846 2534542735 2664791410 3041451282 3997187115 5069085470 7603628205 7994374230 9859728217 15207256410 18920019011 19719456434 29579184651 37840038022 49298641085 56760057033 59158369302 94600095055 98597282170 113520114066 147895923255 189200190110 283800285165 295791846510 567600570330 700040703407 1400081406814 2100122110221 3500203517035 4200244220442 7000407034070 10500610551105 21001221102210