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100131223280 = 24511761149521
BaseRepresentation
bin101110101000001001…
…0010011011011110000
3100120110022120011202012
41131100102103123300
53120032043121110
6113555531342052
710143226232444
oct1352022233360
9316408504665
10100131223280
11395135130a0
12174a58b1928
139599a65c5a
144bbc65c824
152910a0a905
hex17504936f0

100131223280 has 80 divisors (see below), whose sum is σ = 254304625248. Its totient is φ = 36363264000.

The previous prime is 100131223279. The next prime is 100131223321. The reversal of 100131223280 is 82322131001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

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, 594920 + ... + 744440.

Almost surely, 2100131223280 is an apocalyptic number.

100131223280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100131223280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127152312624).

100131223280 is an abundant number, since it is smaller than the sum of its proper divisors (154173401968).

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

100131223280 is a wasteful number, since it uses less digits than its factorization.

100131223280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150306 (or 150300 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 23.

Adding to 100131223280 its reverse (82322131001), we get a palindrome (182453354281).

The spelling of 100131223280 in words is "one hundred billion, one hundred thirty-one million, two hundred twenty-three thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 440 761 880 1522 3044 3805 6088 7610 8371 12176 15220 16742 30440 33484 41855 60880 66968 83710 133936 149521 167420 299042 334840 598084 669680 747605 1196168 1495210 1644731 2392336 2990420 3289462 5980840 6578924 8223655 11961680 13157848 16447310 26315696 32894620 65789240 113785481 131578480 227570962 455141924 568927405 910283848 1137854810 1251640291 1820567696 2275709620 2503280582 4551419240 5006561164 6258201455 9102838480 10013122328 12516402910 20026244656 25032805820 50065611640 100131223280