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100221144340 = 22531490332969
BaseRepresentation
bin101110101010110100…
…1010100110100010100
3100120200120202122020211
41131111221110310110
53120223103104330
6114012502535204
710145400446122
oct1352551246424
9316616678224
10100221144340
113955a250119
121750ba37504
1395b258ac95
144bca588912
15291886dd2a
hex1755a54d14

100221144340 has 48 divisors (see below), whose sum is σ = 217304478720. Its totient is φ = 38786192640.

The previous prime is 100221144301. The next prime is 100221144343. The reversal of 100221144340 is 43441122001.

It is a happy number.

It is a super-2 number, since 2×1002211443402 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100221144343) 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, 3023376 + ... + 3056344.

It is an arithmetic number, because the mean of its divisors is an integer number (4527176640).

Almost surely, 2100221144340 is an apocalyptic number.

100221144340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100221144340 is an abundant number, since it is smaller than the sum of its proper divisors (117083334380).

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

100221144340 is a wasteful number, since it uses less digits than its factorization.

100221144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37912 (or 37910 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

Adding to 100221144340 its reverse (43441122001), we get a palindrome (143662266341).

The spelling of 100221144340 in words is "one hundred billion, two hundred twenty-one million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 4903 9806 19612 24515 32969 49030 65938 98060 131876 151993 164845 303986 329690 607972 659380 759965 1022039 1519930 2044078 3039860 4088156 5110195 10220390 20440780 161647007 323294014 646588028 808235035 1616470070 3232940140 5011057217 10022114434 20044228868 25055286085 50110572170 100221144340