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1221020010 = 232573675281
BaseRepresentation
bin100100011000111…
…0100100101101010
310011002120020120100
41020301310211222
510000040120020
6321054410230
742154333050
oct11061644552
93132506510
101221020010
11577263451
122a0b00976
13165c73c62
14b82421d0
15722dda90
hex48c7496a

1221020010 has 96 divisors (see below), whose sum is σ = 3638748672. Its totient is φ = 278277120.

The previous prime is 1221019979. The next prime is 1221020069. The reversal of 1221020010 is 100201221.

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 = 1221019974 and 1221020001.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228570 + ... + 233850.

It is an arithmetic number, because the mean of its divisors is an integer number (37903632).

Almost surely, 21221020010 is an apocalyptic number.

1221020010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221020010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1819374336).

1221020010 is an abundant number, since it is smaller than the sum of its proper divisors (2417728662).

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

1221020010 is a wasteful number, since it uses less digits than its factorization.

1221020010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5668 (or 5665 counting only the distinct ones).

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

The square root of 1221020010 is about 34943.0967431337. The cubic root of 1221020010 is about 1068.8274370894.

Adding to 1221020010 its reverse (100201221), we get a palindrome (1321221231).

The spelling of 1221020010 in words is "one billion, two hundred twenty-one million, twenty thousand, ten".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 367 630 734 1101 1835 2202 2569 3303 3670 5138 5281 5505 6606 7707 10562 11010 12845 15414 15843 16515 23121 25690 26405 31686 33030 36967 38535 46242 47529 52810 73934 77070 79215 95058 110901 115605 158430 184835 221802 231210 237645 332703 369670 475290 554505 665406 1109010 1663515 1938127 3327030 3876254 5814381 9690635 11628762 13566889 17443143 19381270 27133778 29071905 34886286 40700667 58143810 67834445 81401334 87215715 122102001 135668890 174431430 203503335 244204002 407006670 610510005 1221020010