Search a number
-
+
10321321021220 = 225111779199175543
BaseRepresentation
bin1001011000110001111010…
…1011000100111100100100
31100112201010121102101021002
42112030132223010330210
52323101031140134340
633541314401412432
72113455646065446
oct226143653047444
940481117371232
1010321321021220
11331a27a705110
1211a841163a118
1359b3b1249c01
142797a9b8a496
1512d734311715
hex9631eac4f24

10321321021220 has 192 divisors, whose sum is σ = 25480562688000. Its totient is φ = 3470170429440.

The previous prime is 10321321021213. The next prime is 10321321021243. The reversal of 10321321021220 is 2212012312301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10321321021192 and 10321321021201.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 58708769 + ... + 58884311.

It is an arithmetic number, because the mean of its divisors is an integer number (132711264000).

Almost surely, 210321321021220 is an apocalyptic number.

10321321021220 is a gapful number since it is divisible by the number (10) 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 10321321021220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12740281344000).

10321321021220 is an abundant number, since it is smaller than the sum of its proper divisors (15159241666780).

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

10321321021220 is a wasteful number, since it uses less digits than its factorization.

10321321021220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175858 (or 175856 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 10321321021220 its reverse (2212012312301), we get a palindrome (12533333333521).

The spelling of 10321321021220 in words is "ten trillion, three hundred twenty-one billion, three hundred twenty-one million, twenty-one thousand, two hundred twenty".