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20201001120102 = 23113779110994421
BaseRepresentation
bin1001001011111011010010…
…11111101111000101100110
32122112012022111112100202110
410211331221133233011212
510121433122241320402
6110544113425421450
74153321432243245
oct445755137570546
978465274470673
1020201001120102
116489218547620
12232310a49a886
13b36c3bb42b6a
144dba3b29c95c
1525071b15d56c
hex125f697ef166

20201001120102 has 128 divisors (see below), whose sum is σ = 45880933939200. Its totient is φ = 5875310937600.

The previous prime is 20201001120077. The next prime is 20201001120103. The reversal of 20201001120102 is 20102110010202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20201001120103) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 213898852 + ... + 213993272.

It is an arithmetic number, because the mean of its divisors is an integer number (358444796400).

Almost surely, 220201001120102 is an apocalyptic number.

20201001120102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 20201001120102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22940466969600).

20201001120102 is an abundant number, since it is smaller than the sum of its proper divisors (25679932819098).

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

20201001120102 is a wasteful number, since it uses less digits than its factorization.

20201001120102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95662.

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

Adding to 20201001120102 its reverse (20102110010202), we get a palindrome (40303111130304).

The spelling of 20201001120102 in words is "twenty trillion, two hundred one billion, one million, one hundred twenty thousand, one hundred two".

Divisors: 1 2 3 6 11 22 33 37 66 74 79 111 158 222 237 407 474 814 869 1109 1221 1738 2218 2442 2607 2923 3327 5214 5846 6654 8769 12199 17538 24398 32153 36597 41033 64306 73194 82066 87611 94421 96459 123099 175222 188842 192918 246198 262833 283263 451363 525666 566526 902726 963721 1038631 1354089 1927442 2077262 2708178 2891163 3115893 3241607 3493577 5782326 6231786 6483214 6987154 7459259 9724821 10480731 14918518 19449642 20961462 22377777 35657677 38429347 44755554 71315354 76858694 82051849 104712889 106973031 115288041 164103698 209425778 213946062 230576082 246155547 275992583 314138667 492311094 551985166 628277334 827977749 1151841779 1655955498 2303683558 3035918413 3455525337 3874376893 6071836826 6911050674 7748753786 8272318231 9107755239 11623130679 16544636462 18215510478 23246261358 24816954693 42618145823 49633909386 85236291646 90995500541 127854437469 181991001082 255708874938 272986501623 306075774547 545973003246 612151549094 918227323641 1836454647282 3366833520017 6733667040034 10100500560051 20201001120102