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103121220440 = 2357477835959
BaseRepresentation
bin110000000001010000…
…0001111001101011000
3100212011200202202202202
41200002200033031120
53142143013023230
6115212341345332
710310303624360
oct1400240171530
9325150682682
10103121220440
113a808271227
1217b9b108248
139955357544
144dc37bd9a0
152a38275a45
hex180280f358

103121220440 has 64 divisors (see below), whose sum is σ = 270810777600. Its totient is φ = 34603590528.

The previous prime is 103121220439. The next prime is 103121220443. The reversal of 103121220440 is 44022121301.

It is a super-2 number, since 2×1031212204402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103121220443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3904820 + ... + 3931139.

It is an arithmetic number, because the mean of its divisors is an integer number (4231418400).

Almost surely, 2103121220440 is an apocalyptic number.

103121220440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103121220440 is an abundant number, since it is smaller than the sum of its proper divisors (167689557160).

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

103121220440 is a wasteful number, since it uses less digits than its factorization.

103121220440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7836024 (or 7836020 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 103121220440 its reverse (44022121301), we get a palindrome (147143341741).

The spelling of 103121220440 in words is "one hundred three billion, one hundred twenty-one million, two hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 940 1316 1645 1880 2632 3290 6580 13160 7835959 15671918 31343836 39179795 54851713 62687672 78359590 109703426 156719180 219406852 274258565 313438360 368290073 438813704 548517130 736580146 1097034260 1473160292 1841450365 2194068520 2578030511 2946320584 3682900730 5156061022 7365801460 10312122044 12890152555 14731602920 20624244088 25780305110 51560610220 103121220440