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122023000021 = 13192347457003
BaseRepresentation
bin111000110100100100…
…0110011011111010101
3102122221222210122211011
41301221020303133111
53444400342000041
6132020120212221
711546562246436
oct1615110633725
9378858718734
10122023000021
1147827890a6a
121b79530a071
13b6783554c0
145c97cab48d
1532928ace81
hex1c692337d5

122023000021 has 32 divisors (see below), whose sum is σ = 147411210240. Its totient is φ = 99896981184.

The previous prime is 122023000009. The next prime is 122023000031. The reversal of 122023000021 is 120000320221.

It is not a de Polignac number, because 122023000021 - 29 = 122022999509 is a prime.

It is a super-2 number, since 2×1220230000212 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 122022999965 and 122023000010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (122023000031) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38506 + ... + 495508.

It is an arithmetic number, because the mean of its divisors is an integer number (4606600320).

Almost surely, 2122023000021 is an apocalyptic number.

It is an amenable number.

122023000021 is a deficient number, since it is larger than the sum of its proper divisors (25388210219).

122023000021 is a wasteful number, since it uses less digits than its factorization.

122023000021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 457105.

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 122023000021 its reverse (120000320221), we get a palindrome (242023320242).

The spelling of 122023000021 in words is "one hundred twenty-two billion, twenty-three million, twenty-one", and thus it is an aban number.

Divisors: 1 13 19 23 47 247 299 437 611 893 1081 5681 11609 14053 20539 267007 457003 5941039 8683057 10511069 21479141 112879741 136643897 199710311 279228833 408103679 494020243 2596234043 5305347827 6422263159 9386384617 122023000021