Search a number
-
+
20022002210100 = 223521135916900483
BaseRepresentation
bin1001000110101101111000…
…10101000101010100110100
32121220002021202111120211010
410203112330111011110310
510111020030031210400
6110325551505512220
74134353610514002
oct443267425052464
977802252446733
1020022002210100
11641a313303150
1222b4494042670
13b230b372a977
144d30da415a72
1524ac4179e450
hex1235bc545534

20022002210100 has 144 divisors (see below), whose sum is σ = 63372758883840. Its totient is φ = 4840298044800.

The previous prime is 20022002210069. The next prime is 20022002210107. The reversal of 20022002210100 is 101220022002.

It is a super-3 number, since 3×200220022101003 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20022002210107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7265542 + ... + 9634941.

It is an arithmetic number, because the mean of its divisors is an integer number (440088603360).

Almost surely, 220022002210100 is an apocalyptic number.

20022002210100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20022002210100 is an abundant number, since it is smaller than the sum of its proper divisors (43350756673740).

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

20022002210100 is a wasteful number, since it uses less digits than its factorization.

20022002210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16900870 (or 16900863 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 20022002210100 its reverse (101220022002), we get a palindrome (20123222232102).

The spelling of 20022002210100 in words is "twenty trillion, twenty-two billion, two million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 359 550 660 718 825 1077 1100 1436 1650 1795 2154 3300 3590 3949 4308 5385 7180 7898 8975 10770 11847 15796 17950 19745 21540 23694 26925 35900 39490 47388 53850 59235 78980 98725 107700 118470 197450 236940 296175 394900 592350 1184700 16900483 33800966 50701449 67601932 84502415 101402898 169004830 185905313 202805796 253507245 338009660 371810626 422512075 507014490 557715939 743621252 845024150 929526565 1014028980 1115431878 1267536225 1690048300 1859053130 2230863756 2535072450 2788579695 3718106260 4647632825 5070144900 5577159390 6067273397 9295265650 11154318780 12134546794 13942898475 18201820191 18590531300 24269093588 27885796950 30336366985 36403640382 55771593900 60672733970 66740007367 72807280764 91009100955 121345467940 133480014734 151681834925 182018201910 200220022101 266960029468 303363669850 333700036835 364036403820 400440044202 455045504775 606727339700 667400073670 800880088404 910091009550 1001100110505 1334800147340 1668500184175 1820182019100 2002200221010 3337000368350 4004400442020 5005500552525 6674000736700 10011001105050 20022002210100