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20021011012002 = 237111310133004967
BaseRepresentation
bin1001000110101100000010…
…01111111101100110100010
32121212222201200101111122110
410203112001033331212202
510111011012304341002
6110325305301020150
74134320213462430
oct443260117754642
977788650344573
1020021011012002
116419954851370
1222b42580b4656
13b22c86282c10
144d3044919d50
1524abd475ae6c
hex1235813fd9a2

20021011012002 has 128 divisors (see below), whose sum is σ = 54295020638208. Its totient is φ = 4752715104000.

The previous prime is 20021011011983. The next prime is 20021011012021.

20021011012002 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (20021011011983) and next prime (20021011012021).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15895878 + ... + 17109089.

It is an arithmetic number, because the mean of its divisors is an integer number (424179848736).

Almost surely, 220021011012002 is an apocalyptic number.

20021011012002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

20021011012002 is an abundant number, since it is smaller than the sum of its proper divisors (34274009626206).

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

20021011012002 is a wasteful number, since it uses less digits than its factorization.

20021011012002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33005104.

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

It can be divided in two parts, 2002101 and 1012002, that added together give a palindrome (3014103).

The spelling of 20021011012002 in words is "twenty trillion, twenty-one billion, eleven million, twelve thousand, two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 101 143 154 182 202 231 273 286 303 429 462 546 606 707 858 1001 1111 1313 1414 2002 2121 2222 2626 3003 3333 3939 4242 6006 6666 7777 7878 9191 14443 15554 18382 23331 27573 28886 43329 46662 55146 86658 101101 202202 303303 606606 33004967 66009934 99014901 198029802 231034769 363054637 429064571 462069538 693104307 726109274 858129142 1089163911 1287193713 1386208614 2178327822 2541382459 2574387426 3003451997 3333501667 4719710281 5082764918 6006903994 6667003334 7624147377 9010355991 9439420562 10000505001 14159130843 15248294754 18020711982 20001010002 23334511669 28318261686 33037971967 36668518337 43335521671 46669023338 66075943934 70003535007 73337036674 86671043342 99113915901 110005555011 130006565013 140007070014 198227831802 220011110022 256679628359 260013130026 303348651697 476690738381 513359256718 606697303394 770038885077 910045955091 953381476762 1430072215143 1540077770154 1820091910182 2860144430286 3336835168667 6673670337334 10010505506001 20021011012002