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101341993872 = 24371446120857
BaseRepresentation
bin101111001100001110…
…1000001101110010000
3100200120200211200202110
41132120131001232100
53130022022300442
6114320022345320
710215230510040
oct1363035015620
9320520750673
10101341993872
1139a84a05a49
121778328b240
13973085b962
144c95393720
152981e7269c
hex1798741b90

101341993872 has 80 divisors (see below), whose sum is σ = 299235208832. Its totient is φ = 28951464960.

The previous prime is 101341993853. The next prime is 101341993901. The reversal of 101341993872 is 278399143101.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 4848468 + ... + 4869324.

Almost surely, 2101341993872 is an apocalyptic number.

101341993872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101341993872 is an abundant number, since it is smaller than the sum of its proper divisors (197893214960).

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

101341993872 is a wasteful number, since it uses less digits than its factorization.

101341993872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35336 (or 35330 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 48.

The spelling of 101341993872 in words is "one hundred one billion, three hundred forty-one million, nine hundred ninety-three thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 14461 20857 28922 41714 43383 57844 62571 83428 86766 101227 115688 125142 145999 166856 173532 202454 231376 250284 291998 303681 333712 347064 404908 437997 500568 583996 607362 694128 809816 875994 1001136 1167992 1214724 1619632 1751988 2335984 2429448 3503976 4858896 7007952 301613077 603226154 904839231 1206452308 1809678462 2111291539 2412904616 3619356924 4222583078 4825809232 6333874617 7238713848 8445166156 12667749234 14477427696 16890332312 25335498468 33780664624 50670996936 101341993872