Search a number
-
+
20212111012002 = 23713157307976579
BaseRepresentation
bin1001001100001111111111…
…01100100111000010100010
32122120020222202202100100020
410212013333230213002202
510122123400404341002
6110553152101134310
74154163644620530
oct446077754470242
978506882670306
1020212111012002
1164929a9812868
1223252ab0ba396
13b37cbc7655b0
144dc3b29b7150
15250b6b6a82bc
hex1261ffb270a2

20212111012002 has 128 divisors (see below), whose sum is σ = 50086701772800. Its totient is φ = 5294923934976.

The previous prime is 20212111011949. The next prime is 20212111012007. The reversal of 20212111012002 is 20021011121202.

It is a super-2 number, since 2×202121110120022 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (20212111012007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 263899749 + ... + 263976327.

It is an arithmetic number, because the mean of its divisors is an integer number (391302357600).

Almost surely, 220212111012002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20212111012002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25043350886400).

20212111012002 is an abundant number, since it is smaller than the sum of its proper divisors (29874590760798).

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

20212111012002 is a wasteful number, since it uses less digits than its factorization.

20212111012002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79840.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 20212111012002 its reverse (20021011121202), we get a palindrome (40233122133204).

The spelling of 20212111012002 in words is "twenty trillion, two hundred twelve billion, one hundred eleven million, twelve thousand, two".

Divisors: 1 2 3 6 7 13 14 21 26 39 42 78 91 157 182 273 314 471 546 942 1099 2041 2198 3079 3297 4082 6123 6158 6594 9237 12246 14287 18474 21553 28574 40027 42861 43106 64659 76579 80054 85722 120081 129318 153158 229737 240162 280189 459474 483403 536053 560378 840567 966806 995527 1072106 1450209 1608159 1681134 1991054 2900418 2986581 3216318 3383821 5973162 6284239 6767642 6968689 10151463 12022903 12568478 13937378 18852717 20302926 20906067 24045806 36068709 37705434 41812134 43989673 72137418 84160321 87979346 131969019 156297739 168320642 235786741 252480963 263938038 312595478 468893217 471573482 504961926 707360223 937786434 1094084173 1414720446 1650507187 2188168346 3065227633 3282252519 3301014374 4951521561 6130455266 6564505038 9195682899 9903043122 18391365798 21456593431 37018518337 42913186862 64369780293 74037036674 111055555011 128739560586 222111110022 259129628359 481240738381 518259256718 777388885077 962481476762 1443722215143 1554777770154 2887444430286 3368685168667 6737370337334 10106055506001 20212111012002