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10222220112 = 2431359277657
BaseRepresentation
bin10011000010100101…
…01011001101010000
3222101101220120210220
421201102223031100
5131413342020422
64410201353040
7511213302666
oct114122531520
928341816726
1010222220112
1143761a42a5
121b93498780
13c6ba54570
146cd88ac36
153ec655e5c
hex2614ab350

10222220112 has 80 divisors (see below), whose sum is σ = 28920857280. Its totient is φ = 3091977216.

The previous prime is 10222220059. The next prime is 10222220117. The reversal of 10222220112 is 21102222201.

It is a super-3 number, since 3×102222201123 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10222220091 and 10222220100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222220117) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102013 + ... + 175644.

It is an arithmetic number, because the mean of its divisors is an integer number (361510716).

Almost surely, 210222220112 is an apocalyptic number.

10222220112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10222220112 is an abundant number, since it is smaller than the sum of its proper divisors (18698637168).

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

10222220112 is a wasteful number, since it uses less digits than its factorization.

10222220112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277740 (or 277734 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 10222220112 its reverse (21102222201), we get a palindrome (31324442313).

The spelling of 10222220112 in words is "ten billion, two hundred twenty-two million, two hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 59 78 104 118 156 177 208 236 312 354 472 624 708 767 944 1416 1534 2301 2832 3068 4602 6136 9204 12272 18408 36816 277657 555314 832971 1110628 1665942 2221256 3331884 3609541 4442512 6663768 7219082 10828623 13327536 14438164 16381763 21657246 28876328 32763526 43314492 49145289 57752656 65527052 86628984 98290578 131054104 173257968 196581156 212962919 262108208 393162312 425925838 638888757 786324624 851851676 1277777514 1703703352 2555555028 3407406704 5111110056 10222220112