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1002020221020 = 2235713183520187
BaseRepresentation
bin11101001010011010000…
…11110011000001011100
310112210101111211021201210
432211031003303001130
5112404114134033040
62044153254504420
7132251665230150
oct16451503630134
93483344737653
101002020221020
11356a55323945
12142246665110
137364a9a2ab0
14366d8887060
151b0e8cc0480
hexe94d0f305c

1002020221020 has 96 divisors (see below), whose sum is σ = 3453115857408. Its totient is φ = 211415254272.

The previous prime is 1002020221009. The next prime is 1002020221117. The reversal of 1002020221020 is 201220202001.

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

It is a junction number, because it is equal to n+sod(n) for n = 1002020220987 and 1002020221005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91754634 + ... + 91765553.

It is an arithmetic number, because the mean of its divisors is an integer number (35969956848).

Almost surely, 21002020221020 is an apocalyptic number.

1002020221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002020221020 is an abundant number, since it is smaller than the sum of its proper divisors (2451095636388).

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

1002020221020 is a wasteful number, since it uses less digits than its factorization.

1002020221020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 183520219 (or 183520217 counting only the distinct ones).

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

Adding to 1002020221020 its reverse (201220202001), we get a palindrome (1203240423021).

The spelling of 1002020221020 in words is "one trillion, two billion, twenty million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 13 14 15 20 21 26 28 30 35 39 42 52 60 65 70 78 84 91 105 130 140 156 182 195 210 260 273 364 390 420 455 546 780 910 1092 1365 1820 2730 5460 183520187 367040374 550560561 734080748 917600935 1101121122 1284641309 1835201870 2202242244 2385762431 2569282618 2752802805 3670403740 3853923927 4771524862 5138565236 5505605610 6423206545 7157287293 7707847854 9543049724 11011211220 11928812155 12846413090 14314574586 15415695708 16700337017 19269619635 23857624310 25692826180 28629149172 33400674034 35786436465 38539239270 47715248620 50101011051 66801348068 71572872930 77078478540 83501685085 100202022102 143145745860 167003370170 200404044204 250505055255 334006740340 501010110510 1002020221020