Search a number
-
+
322023103020 = 223257993223823
BaseRepresentation
bin1001010111110100001…
…00101001101000101100
31010210012100021120121100
410223322010221220230
520234000403244040
6403534012403100
732160014132643
oct4537204515054
91123170246540
10322023103020
11114629712593
12524b0a76490
132449c6ac508
141182bdb835a
15859ad52b30
hex4afa129a2c

322023103020 has 72 divisors (see below), whose sum is σ = 976929984576. Its totient is φ = 85861700352.

The previous prime is 322023102997. The next prime is 322023103037. The reversal of 322023103020 is 20301320223.

It is a happy number.

322023103020 is a `hidden beast` number, since 32 + 20 + 2 + 310 + 302 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 322023102984 and 322023103002.

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, 1326829 + ... + 1550651.

It is an arithmetic number, because the mean of its divisors is an integer number (13568472008).

Almost surely, 2322023103020 is an apocalyptic number.

322023103020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

322023103020 is an abundant number, since it is smaller than the sum of its proper divisors (654906881556).

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

322023103020 is a wasteful number, since it uses less digits than its factorization.

322023103020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231831 (or 231826 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 322023103020 its reverse (20301320223), we get a palindrome (342324423243).

The spelling of 322023103020 in words is "three hundred twenty-two billion, twenty-three million, one hundred three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 7993 15986 23979 31972 39965 47958 71937 79930 95916 119895 143874 159860 223823 239790 287748 359685 447646 479580 671469 719370 895292 1119115 1342938 1438740 2014407 2238230 2685876 3357345 4028814 4476460 6714690 8057628 10072035 13429380 20144070 40288140 1789017239 3578034478 5367051717 7156068956 8945086195 10734103434 16101155151 17890172390 21468206868 26835258585 32202310302 35780344780 53670517170 64404620604 80505775755 107341034340 161011551510 322023103020