Search a number
-
+
101330221223112 = 2337619887804569
BaseRepresentation
bin10111000010100011000111…
…110101110100110011001000
3111021210002000100020011221120
4113002203013311310303020
5101240143243113114422
6555302243324035240
730225603226032060
oct2702430765646310
9437702010204846
10101330221223112
112a3179a6230612
12b446586092b20
1344705253b080b
141b045a1d503a0
15baac7196b45c
hex5c28c7d74cc8

101330221223112 has 64 divisors (see below), whose sum is σ = 294261064003200. Its totient is φ = 28476877155840.

The previous prime is 101330221223111. The next prime is 101330221223129. The reversal of 101330221223112 is 211322122033101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (101330221223111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4943892037 + ... + 4943912532.

It is an arithmetic number, because the mean of its divisors is an integer number (4597829125050).

Almost surely, 2101330221223112 is an apocalyptic number.

101330221223112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101330221223112 is an abundant number, since it is smaller than the sum of its proper divisors (192930842780088).

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

101330221223112 is a wasteful number, since it uses less digits than its factorization.

101330221223112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9887804646 (or 9887804642 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 101330221223112 its reverse (211322122033101), we get a palindrome (312652343256213).

The spelling of 101330221223112 in words is "one hundred one trillion, three hundred thirty billion, two hundred twenty-one million, two hundred twenty-three thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 244 366 427 488 732 854 1281 1464 1708 2562 3416 5124 10248 9887804569 19775609138 29663413707 39551218276 59326827414 69214631983 79102436552 118653654828 138429263966 207643895949 237307309656 276858527932 415287791898 553717055864 603156078709 830575583796 1206312157418 1661151167592 1809468236127 2412624314836 3618936472254 4222092550963 4825248629672 7237872944508 8444185101926 12666277652889 14475745889016 16888370203852 25332555305778 33776740407704 50665110611556 101330221223112