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10022212110120 = 2335738331151971
BaseRepresentation
bin1001000111010111101001…
…1001001000011100101000
31022111010002012020100200120
42101311322121020130220
52303200442300010440
633152050215403240
72053036521225660
oct221657231103450
938433065210616
1010022212110120
11321443a504121
12115a456683520
13579123c14952
142691131251a0
15125a79ebddd0
hex91d7a648728

10022212110120 has 128 divisors (see below), whose sum is σ = 34451588874240. Its totient is φ = 2284810087680.

The previous prime is 10022212110091. The next prime is 10022212110139. The reversal of 10022212110120 is 2101121222001.

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 10022212110120.

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, 15254266 + ... + 15897705.

It is an arithmetic number, because the mean of its divisors is an integer number (269153038080).

Almost surely, 210022212110120 is an apocalyptic number.

10022212110120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10022212110120 is an abundant number, since it is smaller than the sum of its proper divisors (24429376764120).

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

10022212110120 is a wasteful number, since it uses less digits than its factorization.

10022212110120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31152375 (or 31152371 counting only the distinct ones).

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

Adding to 10022212110120 its reverse (2101121222001), we get a palindrome (12123333332121).

The spelling of 10022212110120 in words is "ten trillion, twenty-two billion, two hundred twelve million, one hundred ten thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 383 420 766 840 1149 1532 1915 2298 2681 3064 3830 4596 5362 5745 7660 8043 9192 10724 11490 13405 15320 16086 21448 22980 26810 32172 40215 45960 53620 64344 80430 107240 160860 321720 31151971 62303942 93455913 124607884 155759855 186911826 218063797 249215768 311519710 373823652 436127594 467279565 623039420 654191391 747647304 872255188 934559130 1090318985 1246078840 1308382782 1744510376 1869118260 2180637970 2616765564 3270956955 3738236520 4361275940 5233531128 6541913910 8722551880 11931204893 13083827820 23862409786 26167655640 35793614679 47724819572 59656024465 71587229358 83518434251 95449639144 119312048930 143174458716 167036868502 178968073395 238624097860 250555302753 286348917432 334073737004 357936146790 417592171255 477248195720 501110605506 668147474008 715872293580 835184342510 1002221211012 1252776513765 1431744587160 1670368685020 2004442422024 2505553027530 3340737370040 5011106055060 10022212110120