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101002103131024 = 2434998118037069
BaseRepresentation
bin10110111101110001100010…
…011110101000101110010000
3111020121201002020011002011101
4112331301202132220232100
5101214304301400143044
6554451420422354144
730163106162205514
oct2675614236505620
9436551066132141
10101002103131024
112a20082a109587
12b3b2a73b8b954
1344485c40577c4
141ad27566bc144
15ba246a9bacd4
hex5bdc627a8b90

101002103131024 has 20 divisors (see below), whose sum is σ = 195692144814940. Its totient is φ = 50500904469120.

The previous prime is 101002103130997. The next prime is 101002103131037. The reversal of 101002103131024 is 420131301200101.

It can be written as a sum of positive squares in 2 ways, for example, as 10096938394624 + 90905164736400 = 3177568^2 + 9534420^2 .

It is a super-2 number, since 2×1010021031310242 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101002103130992 and 101002103131010.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3418839 + ... + 14618230.

It is an arithmetic number, because the mean of its divisors is an integer number (9784607240747).

Almost surely, 2101002103131024 is an apocalyptic number.

It is an amenable number.

101002103131024 is a deficient number, since it is larger than the sum of its proper divisors (94690041683916).

101002103131024 is a wasteful number, since it uses less digits than its factorization.

101002103131024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18387058 (or 18387052 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 101002103131024 its reverse (420131301200101), we get a palindrome (521133404331125).

The spelling of 101002103131024 in words is "one hundred one trillion, two billion, one hundred three million, one hundred thirty-one thousand, twenty-four".

Divisors: 1 2 4 8 16 349981 699962 1399924 2799848 5599696 18037069 36074138 72148276 144296552 288593104 6312631445689 12625262891378 25250525782756 50501051565512 101002103131024