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20220213211120 = 2451383359652499
BaseRepresentation
bin1001001100011111000101…
…01000000010111111110000
32122121000220102110201002001
410212033202220002333300
510122241444040223440
6111001012051303344
74154601506312356
oct446174250027760
978530812421061
1020220213211120
11649638724399a
1223269905aab54
13b389b120c160
144dc940a857d6
15250e92b3eb9a
hex1263e2a02ff0

20220213211120 has 160 divisors (see below), whose sum is σ = 51381086400000. Its totient is φ = 7355416814592.

The previous prime is 20220213211087. The next prime is 20220213211147. The reversal of 20220213211120 is 2111231202202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30662631 + ... + 31315129.

It is an arithmetic number, because the mean of its divisors is an integer number (321131790000).

Almost surely, 220220213211120 is an apocalyptic number.

20220213211120 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 20220213211120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25690543200000).

20220213211120 is an abundant number, since it is smaller than the sum of its proper divisors (31160873188880).

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

20220213211120 is a wasteful number, since it uses less digits than its factorization.

20220213211120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652967 (or 652961 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 20220213211120 its reverse (2111231202202), we get a palindrome (22331444413322).

The spelling of 20220213211120 in words is "twenty trillion, two hundred twenty billion, two hundred thirteen million, two hundred eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 83 104 130 166 208 260 332 359 415 520 664 718 830 1040 1079 1328 1436 1660 1795 2158 2872 3320 3590 4316 4667 5395 5744 6640 7180 8632 9334 10790 14360 17264 18668 21580 23335 28720 29797 37336 43160 46670 59594 74672 86320 93340 119188 148985 186680 238376 297970 373360 387361 476752 595940 652499 774722 1191880 1304998 1549444 1936805 2383760 2609996 3098888 3262495 3873610 5219992 6197776 6524990 7747220 8482487 10439984 13049980 15494440 16964974 26099960 30988880 33929948 42412435 52199920 54157417 67859896 84824870 108314834 135719792 169649740 216629668 234247141 270787085 339299480 433259336 468494282 541574170 678598960 704046421 866518672 936988564 1083148340 1171235705 1408092842 1873977128 2166296680 2342471410 2816185684 3045212833 3520232105 3747954256 4332593360 4684942820 5632371368 6090425666 7040464210 9369885640 11264742736 12180851332 14080928420 15226064165 18739771280 19442512703 24361702664 28161856840 30452128330 38885025406 48723405328 56323713680 60904256660 77770050812 97212563515 121808513320 155540101624 194425127030 243617026640 252752665139 311080203248 388850254060 505505330278 777700508120 1011010660556 1263763325695 1555401016240 2022021321112 2527526651390 4044042642224 5055053302780 10110106605560 20220213211120