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20010221202120 = 23353113194078159
BaseRepresentation
bin1001000110010111111100…
…01000000110101011001000
32121211221212201110101001020
410203023332020012223020
510110321413111431440
6110320322501552440
74133455635554652
oct443137610065310
977757781411036
1020010221202120
116415318226516
1222b2146715720
13b21c56a6cb26
144d26dd9216d2
1524a7a238a3d0
hex1232fe206ac8

20010221202120 has 128 divisors (see below), whose sum is σ = 62014132224000. Its totient is φ = 5160011754240.

The previous prime is 20010221202079. The next prime is 20010221202121. The reversal of 20010221202120 is 2120212201002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20010221202120.

It is not an unprimeable number, because it can be changed into a prime (20010221202121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2867601 + ... + 6945759.

It is an arithmetic number, because the mean of its divisors is an integer number (484485408000).

Almost surely, 220010221202120 is an apocalyptic number.

20010221202120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20010221202120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31007066112000).

20010221202120 is an abundant number, since it is smaller than the sum of its proper divisors (42003911021880).

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

20010221202120 is a wasteful number, since it uses less digits than its factorization.

20010221202120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4079523 (or 4079519 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 20010221202120 its reverse (2120212201002), we get a palindrome (22130433403122).

The spelling of 20010221202120 in words is "twenty trillion, ten billion, two hundred twenty-one million, two hundred two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 31 40 60 62 93 120 124 155 186 248 310 372 465 620 744 930 1240 1319 1860 2638 3720 3957 5276 6595 7914 10552 13190 15828 19785 26380 31656 39570 40889 52760 79140 81778 122667 158280 163556 204445 245334 327112 408890 490668 613335 817780 981336 1226670 1635560 2453340 4078159 4906680 8156318 12234477 16312636 20390795 24468954 32625272 40781590 48937908 61172385 81563180 97875816 122344770 126422929 163126360 244689540 252845858 379268787 489379080 505691716 632114645 758537574 1011383432 1264229290 1517075148 1896343935 2528458580 3034150296 3792687870 5056917160 5379091721 7585375740 10758183442 15170751480 16137275163 21516366884 26895458605 32274550326 43032733768 53790917210 64549100652 80686375815 107581834420 129098201304 161372751630 166751843351 215163668840 322745503260 333503686702 500255530053 645491006520 667007373404 833759216755 1000511060106 1334014746808 1667518433510 2001022120212 2501277650265 3335036867020 4002044240424 5002555300530 6670073734040 10005110601060 20010221202120