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20021002120 = 2357289114773
BaseRepresentation
bin10010101001010110…
…000011111110001000
31220200022001021202001
4102221112003332020
5312000334031440
613110355320344
71306065465400
oct225126037610
956608037661
1020021002120
118544374249
123a68bb00b4
131b70b4c222
14d7cdd1800
157c2a18b9a
hex4a9583f88

20021002120 has 96 divisors (see below), whose sum is σ = 52991155800. Its totient is φ = 6787156992.

The previous prime is 20021002117. The next prime is 20021002159. The reversal of 20021002120 is 2120012002.

It can be written as a sum of positive squares in 4 ways, for example, as 18217980676 + 1803021444 = 134974^2 + 42462^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20021002097 and 20021002106.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117054 + ... + 231826.

Almost surely, 220021002120 is an apocalyptic number.

20021002120 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 20021002120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26495577900).

20021002120 is an abundant number, since it is smaller than the sum of its proper divisors (32970153680).

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

20021002120 is a wasteful number, since it uses less digits than its factorization.

20021002120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114887 (or 114876 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20021002120 its reverse (2120012002), we get a palindrome (22141014122).

The spelling of 20021002120 in words is "twenty billion, twenty-one million, two thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 89 98 140 178 196 245 280 356 392 445 490 623 712 890 980 1246 1780 1960 2492 3115 3560 4361 4984 6230 8722 12460 17444 21805 24920 34888 43610 87220 114773 174440 229546 459092 573865 803411 918184 1147730 1606822 2295460 3213644 4017055 4590920 5623877 6427288 8034110 10214797 11247754 16068220 20429594 22495508 28119385 32136440 40859188 44991016 51073985 56238770 71503579 81718376 102147970 112477540 143007158 204295940 224955080 286014316 357517895 408591880 500525053 572028632 715035790 1001050106 1430071580 2002100212 2502625265 2860143160 4004200424 5005250530 10010501060 20021002120