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101552115344 = 2419538297603
BaseRepresentation
bin101111010010011111…
…0100100111010010000
3100201010100012222020012
41132210332210322100
53130434320142334
6114352530134052
710223361511061
oct1364476447220
9321110188205
10101552115344
113a082581359
1217821721328
13976524aba4
144cb524c568
15299562a9ce
hex17a4fa4e90

101552115344 has 80 divisors (see below), whose sum is σ = 211302993600. Its totient is φ = 47132886528.

The previous prime is 101552115337. The next prime is 101552115361. The reversal of 101552115344 is 443511255101.

It is a self number, because there is not a number n which added to its sum of digits gives 101552115344.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13353047 + ... + 13360649.

It is an arithmetic number, because the mean of its divisors is an integer number (2641287420).

Almost surely, 2101552115344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101552115344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105651496800).

101552115344 is an abundant number, since it is smaller than the sum of its proper divisors (109750878256).

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

101552115344 is a wasteful number, since it uses less digits than its factorization.

101552115344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8512 (or 8506 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 32.

The spelling of 101552115344 in words is "one hundred one billion, five hundred fifty-two million, one hundred fifteen thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 19 38 53 76 106 152 212 304 424 829 848 1007 1658 2014 3316 4028 6632 7603 8056 13264 15206 15751 16112 30412 31502 43937 60824 63004 87874 121648 126008 144457 175748 252016 288914 351496 402959 577828 702992 805918 834803 1155656 1611836 1669606 2311312 3223672 3339212 6302887 6447344 6678424 7656221 12605774 13356848 15312442 25211548 30624884 50423096 61249768 100846192 119754853 122499536 239509706 334053011 479019412 668106022 958038824 1336212044 1916077648 2672424088 5344848176 6347007209 12694014418 25388028836 50776057672 101552115344