Search a number
-
+
100201001221020 = 22357238573812431
BaseRepresentation
bin10110110010000111011101…
…000101010111101110011100
3111010210010022001120111211010
4112302013131011113232130
5101113143122303033040
6553035412100255220
730051166135264050
oct2662073505275634
9433703261514733
10100201001221020
1129a22007a55567
12b2a37606a1510
1343babb5a0bc9b
141aa5a7bc7bc60
15b8b6d0ab6e80
hex5b21dd157b9c

100201001221020 has 48 divisors (see below), whose sum is σ = 320643203908608. Its totient is φ = 22903085993280.

The previous prime is 100201001221001. The next prime is 100201001221031. The reversal of 100201001221020 is 20122100102001.

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 = 100201001220987 and 100201001221005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 119286905796 + ... + 119286906635.

It is an arithmetic number, because the mean of its divisors is an integer number (6680066748096).

Almost surely, 2100201001221020 is an apocalyptic number.

100201001221020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100201001221020 is an abundant number, since it is smaller than the sum of its proper divisors (220442202687588).

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

100201001221020 is a wasteful number, since it uses less digits than its factorization.

100201001221020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 238573812450 (or 238573812448 counting only the distinct ones).

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

Adding to 100201001221020 its reverse (20122100102001), we get a palindrome (120323101323021).

The spelling of 100201001221020 in words is "one hundred trillion, two hundred one billion, one million, two hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 238573812431 477147624862 715721437293 954295249724 1192869062155 1431442874586 1670016687017 2385738124310 2862885749172 3340033374034 3578607186465 4771476248620 5010050061051 6680066748068 7157214372930 8350083435085 10020100122102 14314428745860 16700166870170 20040200244204 25050250305255 33400333740340 50100500610510 100201001221020