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101102002220019 = 3375471789930763
BaseRepresentation
bin10110111111001110100100…
…111011011010101111110011
3111020222020221100220121112110
4112333032210323122233303
5101222423400032020034
6555005341342500403
730203243602356033
oct2677164473325763
9436866840817473
10101102002220019
112a23a133590759
12b40a2b3b94703
134454b54994b98
141ad75121918c3
15ba4d65e20de9
hex5bf3a4edabf3

101102002220019 has 32 divisors (see below), whose sum is σ = 138776763477760. Its totient is φ = 65423126950272.

The previous prime is 101102002219973. The next prime is 101102002220029. The reversal of 101102002220019 is 910022200201101.

It is not a de Polignac number, because 101102002220019 - 27 = 101102002219891 is a prime.

It is a super-2 number, since 2×1011020022200192 (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 101102002219977 and 101102002220004.

It is not an unprimeable number, because it can be changed into a prime (101102002220029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108157332 + ... + 109088094.

It is an arithmetic number, because the mean of its divisors is an integer number (4336773858680).

Almost surely, 2101102002220019 is an apocalyptic number.

101102002220019 is a deficient number, since it is larger than the sum of its proper divisors (37674761257741).

101102002220019 is a wasteful number, since it uses less digits than its factorization.

101102002220019 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933139.

The product of its (nonzero) digits is 144, while the sum is 21.

The spelling of 101102002220019 in words is "one hundred one trillion, one hundred two billion, two million, two hundred twenty thousand, nineteen".

Divisors: 1 3 37 111 547 1641 1789 5367 20239 60717 66193 198579 930763 978583 2792289 2935749 34438231 36207571 103314693 108622713 509127361 1527382083 1665135007 4995405021 18837712357 56513137071 61609995259 184829985777 910828848829 2732486546487 33700667406673 101102002220019