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101120122002 = 23132117597253
BaseRepresentation
bin101111000101100111…
…0101001110010010010
3100200000020100102202210
41132023032221302102
53124043222401002
6114242015052550
710206564566214
oct1361316516222
9320006312683
10101120122002
1139980744369
1217720b11156
1396c68b7223
144c73b1a5b4
15296c74796c
hex178b3a9c92

101120122002 has 32 divisors (see below), whose sum is σ = 202536322560. Its totient is φ = 33657402240.

The previous prime is 101120121961. The next prime is 101120122067. The reversal of 101120122002 is 200221021101.

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, 13938208 + ... + 13945460.

It is an arithmetic number, because the mean of its divisors is an integer number (6329260080).

Almost surely, 2101120122002 is an apocalyptic number.

101120122002 is an abundant number, since it is smaller than the sum of its proper divisors (101416200558).

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

101120122002 is a wasteful number, since it uses less digits than its factorization.

101120122002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10338.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101120122002 its reverse (200221021101), we get a palindrome (301341143103).

It can be divided in two parts, 1011201 and 22002, that added together give a triangular number (1033203 = T1437).

The spelling of 101120122002 in words is "one hundred one billion, one hundred twenty million, one hundred twenty-two thousand, two".

Divisors: 1 2 3 6 1321 1759 2642 3518 3963 5277 7253 7926 10554 14506 21759 43518 2323639 4647278 6970917 9581213 12758027 13941834 19162426 25516054 28743639 38274081 57487278 76548162 16853353667 33706707334 50560061001 101120122002