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20211010020 = 22325293871841
BaseRepresentation
bin10010110100101010…
…111000100111100100
31221011112120200120200
4102310222320213210
5312343004310040
613141304030500
71313563515315
oct226452704744
957145520520
1020211010020
118631651a73
123b00762430
131ba1318436
14d9a33260c
157d454c630
hex4b4ab89e4

20211010020 has 72 divisors (see below), whose sum is σ = 63420771960. Its totient is φ = 5203752960.

The previous prime is 20211010007. The next prime is 20211010033. The reversal of 20211010020 is 2001011202.

It is an interprime number because it is at equal distance from previous prime (20211010007) and next prime (20211010033).

It can be written as a sum of positive squares in 4 ways, for example, as 5678225316 + 14532784704 = 75354^2 + 120552^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 20211009984 and 20211010011.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1930701 + ... + 1941140.

It is an arithmetic number, because the mean of its divisors is an integer number (880844055).

Almost surely, 220211010020 is an apocalyptic number.

20211010020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20211010020 is an abundant number, since it is smaller than the sum of its proper divisors (43209761940).

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

20211010020 is a wasteful number, since it uses less digits than its factorization.

20211010020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3871885 (or 3871880 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 20211010020 its reverse (2001011202), we get a palindrome (22212021222).

The spelling of 20211010020 in words is "twenty billion, two hundred eleven million, ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 5220 3871841 7743682 11615523 15487364 19359205 23231046 34846569 38718410 46462092 58077615 69693138 77436820 112283389 116155230 139386276 174232845 224566778 232310460 336850167 348465690 449133556 561416945 673700334 696931380 1010550501 1122833890 1347400668 1684250835 2021101002 2245667780 3368501670 4042202004 5052752505 6737003340 10105505010 20211010020