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21124542210 = 23517299831453
BaseRepresentation
bin10011101011000111…
…101110111100000010
32000112012112221011020
4103223013232330002
5321230340322320
613412100130310
71345325434422
oct235307567402
960465487136
1021124542210
118a60287252
124116696996
131cb866c325
1410457b2482
1583984d940
hex4eb1eef02

21124542210 has 128 divisors (see below), whose sum is σ = 55627015680. Its totient is φ = 5110296576.

The previous prime is 21124542191. The next prime is 21124542221. The reversal of 21124542210 is 1224542112.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14537844 + ... + 14539296.

It is an arithmetic number, because the mean of its divisors is an integer number (434586060).

Almost surely, 221124542210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21124542210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27813507840).

21124542210 is an abundant number, since it is smaller than the sum of its proper divisors (34502473470).

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

21124542210 is a wasteful number, since it uses less digits than its factorization.

21124542210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2492.

The product of its (nonzero) digits is 1280, while the sum is 24.

The spelling of 21124542210 in words is "twenty-one billion, one hundred twenty-four million, five hundred forty-two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 17 29 30 34 51 58 85 87 102 145 170 174 255 290 435 493 510 870 983 986 1453 1479 1966 2465 2906 2949 2958 4359 4915 4930 5898 7265 7395 8718 9830 14530 14745 14790 16711 21795 24701 28507 29490 33422 42137 43590 49402 50133 57014 74103 83555 84274 85521 100266 123505 126411 142535 148206 167110 171042 210685 247010 250665 252822 285070 370515 421370 427605 484619 501330 632055 716329 741030 855210 969238 1264110 1428299 1432658 1453857 2148987 2423095 2856598 2907714 3581645 4284897 4297974 4846190 7141495 7163290 7269285 8569794 10744935 14282990 14538570 21424485 21489870 24281083 41420671 42848970 48562166 72843249 82841342 121405415 124262013 145686498 207103355 242810830 248524026 364216245 414206710 621310065 704151407 728432490 1242620130 1408302814 2112454221 3520757035 4224908442 7041514070 10562271105 21124542210