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1020100220120 = 23597931260413
BaseRepresentation
bin11101101100000101011…
…01100001010011011000
310121112001112112101220002
432312002231201103120
5113203131124020440
62100343315552132
7133462014542612
oct16660255412330
93545045471802
101020100220120
11363692a86863
121458515bb648
137526c663207
1437531b79db2
151b8061cc115
hexed82b614d8

1020100220120 has 32 divisors (see below), whose sum is σ = 2295257746320. Its totient is φ = 408034354560.

The previous prime is 1020100220107. The next prime is 1020100220123. The reversal of 1020100220120 is 210220010201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020100220123) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 3787034 + ... + 4047446.

Almost surely, 21020100220120 is an apocalyptic number.

1020100220120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020100220120 is an abundant number, since it is smaller than the sum of its proper divisors (1275157526200).

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

1020100220120 is a wasteful number, since it uses less digits than its factorization.

1020100220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358355 (or 358351 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 1020100220120 its reverse (210220010201), we get a palindrome (1230320230321).

The spelling of 1020100220120 in words is "one trillion, twenty billion, one hundred million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 97931 195862 260413 391724 489655 520826 783448 979310 1041652 1302065 1958620 2083304 2604130 3917240 5208260 10416520 25502505503 51005011006 102010022012 127512527515 204020044024 255025055030 510050110060 1020100220120