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100020046502337 = 313311461160111173
BaseRepresentation
bin10110101111011110111011…
…010101111001100111000001
3111010010211020000100100202020
4112233132323111321213001
5101102212023401033322
6552420324112512053
730032131664455413
oct2657367325714701
9433124200310666
10100020046502337
1129962299808085
12b27467b24b629
1343a6b08352c50
141a9add33609b3
15b86b3e67405c
hex5af7bb5799c1

100020046502337 has 64 divisors (see below), whose sum is σ = 144495983503872. Its totient is φ = 61176084480000.

The previous prime is 100020046502303. The next prime is 100020046502377. The reversal of 100020046502337 is 733205640020001.

It is not a de Polignac number, because 100020046502337 - 26 = 100020046502273 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 100020046502298 and 100020046502307.

It is not an unprimeable number, because it can be changed into a prime (100020046502377) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8951936283 + ... + 8951947455.

It is an arithmetic number, because the mean of its divisors is an integer number (2257749742248).

Almost surely, 2100020046502337 is an apocalyptic number.

It is an amenable number.

100020046502337 is a deficient number, since it is larger than the sum of its proper divisors (44475937001535).

100020046502337 is a wasteful number, since it uses less digits than its factorization.

100020046502337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13562.

The product of its (nonzero) digits is 30240, while the sum is 33.

Adding to 100020046502337 its reverse (733205640020001), we get a palindrome (833225686522338).

The spelling of 100020046502337 in words is "one hundred trillion, twenty billion, forty-six million, five hundred two thousand, three hundred thirty-seven".

Divisors: 1 3 13 39 311 461 933 1383 1601 4043 4803 5993 11173 12129 17979 20813 33519 62439 143371 145249 430113 435747 497911 738061 1493733 1863823 2214183 3474803 5150753 5591469 6472843 9594793 10424409 15452259 17887973 19418529 28784379 45172439 53663919 66959789 135517317 200879367 229536971 232543649 688610913 697630947 1601884183 2983980623 4805652549 5563159603 8246355553 8951941869 16689478809 20824494379 24739066659 62473483137 72321074839 107202622189 216963224517 321607866567 2564616576983 7693849730949 33340015500779 100020046502337