Search a number
-
+
101421222240 = 25351316253401
BaseRepresentation
bin101111001110100101…
…1010000100101100000
3100200210012220220122110
41132131023100211200
53130202313102430
6114331532435320
710220212110402
oct1363513204540
9320705826573
10101421222240
113a0156aa438
12177a5918b40
1397440aba50
144ca1ad8b72
152988dc27b0
hex179d2d0960

101421222240 has 96 divisors (see below), whose sum is σ = 344052013536. Its totient is φ = 24965222400.

The previous prime is 101421222239. The next prime is 101421222263. The reversal of 101421222240 is 42222124101.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8120461 + ... + 8132940.

It is an arithmetic number, because the mean of its divisors is an integer number (3583875141).

Almost surely, 2101421222240 is an apocalyptic number.

101421222240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101421222240 is an abundant number, since it is smaller than the sum of its proper divisors (242630791296).

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

101421222240 is a wasteful number, since it uses less digits than its factorization.

101421222240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16253432 (or 16253424 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 101421222240 its reverse (42222124101), we get a palindrome (143643346341).

The spelling of 101421222240 in words is "one hundred one billion, four hundred twenty-one million, two hundred twenty-two thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 32 39 40 48 52 60 65 78 80 96 104 120 130 156 160 195 208 240 260 312 390 416 480 520 624 780 1040 1248 1560 2080 3120 6240 16253401 32506802 48760203 65013604 81267005 97520406 130027208 162534010 195040812 211294213 243801015 260054416 325068020 390081624 422588426 487602030 520108832 633882639 650136040 780163248 845176852 975204060 1056471065 1267765278 1300272080 1560326496 1690353704 1950408120 2112942130 2535530556 2600544160 3169413195 3380707408 3900816240 4225884260 5071061112 6338826390 6761414816 7801632480 8451768520 10142122224 12677652780 16903537040 20284244448 25355305560 33807074080 50710611120 101421222240