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20001002213031 = 37175925114592593
BaseRepresentation
bin1001000110000110110001…
…01000011100111010100111
32121211002002020022012110220
410203003120220130322213
510110144023031304111
6110312200015015423
74133011323500520
oct443033050347247
977732066265426
1020001002213031
116411417362574
1222b03b320a573
13b21117b172b8
144d20a73c3847
1524a412d52e06
hex1230d8a1cea7

20001002213031 has 128 divisors (see below), whose sum is σ = 32983527628800. Its totient is φ = 10521114624000.

The previous prime is 20001002212973. The next prime is 20001002213051. The reversal of 20001002213031 is 13031220010002.

It is not a de Polignac number, because 20001002213031 - 26 = 20001002212967 is a prime.

It is a super-2 number, since 2×200010022130312 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 20001002213031.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20001002213051) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7713458871 + ... + 7713461463.

It is an arithmetic number, because the mean of its divisors is an integer number (257683809600).

Almost surely, 220001002213031 is an apocalyptic number.

20001002213031 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

20001002213031 is a deficient number, since it is larger than the sum of its proper divisors (12982525415769).

20001002213031 is a wasteful number, since it uses less digits than its factorization.

20001002213031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4389.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 20001002213031 its reverse (13031220010002), we get a palindrome (33032222223033).

The spelling of 20001002213031 in words is "twenty trillion, one billion, two million, two hundred thirteen thousand, thirty-one".

Divisors: 1 3 7 17 21 51 59 119 177 251 357 413 753 1003 1239 1459 1757 2593 3009 4267 4377 5271 7021 7779 10213 12801 14809 18151 21063 24803 29869 30639 44081 44427 54453 74409 86081 89607 103663 132243 152987 173621 251753 258243 308567 310989 366209 458961 520863 602567 650843 755259 925701 1070909 1098627 1463377 1762271 1807701 1952529 2563463 2600779 3212727 3783187 4390131 4555901 5286813 6225553 7690389 7802337 10243639 11064331 11349561 13667703 18205453 18676659 21606331 26482309 30730917 33192993 38399737 43578871 54616359 64314179 64818993 77450317 79446927 115199211 130736613 151244317 192942537 223208033 232350951 268798159 367307627 450199253 453732951 652795529 669624099 806394477 949579937 1101922881 1350597759 1562456231 1958386587 2571153389 2848739811 3794536561 4569568703 4687368693 6647059559 7713460167 11383609683 13708706109 16142858929 19941178677 26561755927 48428576787 56025216283 79685267781 113000012503 168075648849 339000037509 392176513981 952428676811 1176529541943 2857286030433 6667000737677 20001002213031