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21442013010 = 2345116139451
BaseRepresentation
bin10011111110000010…
…110010011101010010
32001100022221010020000
4103332002302131102
5322403123404020
613503400430430
71356232050315
oct237602623522
961308833200
1021442013010
119103503810
1241a4a78416
132039376282
141075a1297c
1585765e090
hex4fe0b2752

21442013010 has 160 divisors (see below), whose sum is σ = 63929283264. Its totient is φ = 5112720000.

The previous prime is 21442012997. The next prime is 21442013029. The reversal of 21442013010 is 1031024412.

21442013010 is a `hidden beast` number, since 214 + 420 + 1 + 30 + 1 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 523785 + ... + 563235.

Almost surely, 221442013010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21442013010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31964641632).

21442013010 is an abundant number, since it is smaller than the sum of its proper divisors (42487270254).

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

21442013010 is a wasteful number, since it uses less digits than its factorization.

21442013010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39542 (or 39533 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 21442013010 its reverse (1031024412), we get a palindrome (22473037422).

The spelling of 21442013010 in words is "twenty-one billion, four hundred forty-two million, thirteen thousand, ten".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 27 30 33 45 54 55 61 66 81 90 99 110 122 135 162 165 183 198 270 297 305 330 366 405 495 549 594 610 671 810 891 915 990 1098 1342 1485 1647 1782 1830 2013 2745 2970 3294 3355 4026 4455 4941 5490 6039 6710 8235 8910 9882 10065 12078 16470 18117 20130 24705 30195 36234 39451 49410 54351 60390 78902 90585 108702 118353 181170 197255 236706 271755 355059 394510 433961 543510 591765 710118 867922 1065177 1183530 1301883 1775295 2130354 2169805 2406511 2603766 3195531 3550590 3905649 4339610 4813022 5325885 6391062 6509415 7219533 7811298 10651770 11716947 12032555 13018830 14439066 15977655 19528245 21658599 23433894 24065110 26471621 31955310 35150841 36097665 39056490 43317198 52943242 58584735 64975797 70301682 72195330 79414863 108292995 117169470 129951594 132358105 158829726 175754205 194927391 216585990 238244589 264716210 324878985 351508410 389854782 397074315 476489178 649757970 714733767 794148630 974636955 1191222945 1429467534 1949273910 2144201301 2382445890 3573668835 4288402602 7147337670 10721006505 21442013010