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1002210012220 = 225192929149419
BaseRepresentation
bin11101001010110000101…
…11110010110000111100
310112210212201221200022111
432211120113302300330
5112410011230342340
62044224154423404
7132256461355234
oct16453027626074
93483781850274
101002210012220
1135704247387a
1214229a131b64
137367b0c4491
1436715b6ccc4
151b10a7aeaea
hexe9585f2c3c

1002210012220 has 72 divisors (see below), whose sum is σ = 2223647521200. Its totient is φ = 379373497344.

The previous prime is 1002210012187. The next prime is 1002210012253. The reversal of 1002210012220 is 222100122001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1002210012187) and next prime (1002210012253).

It is a self number, because there is not a number n which added to its sum of digits gives 1002210012220.

It is a congruent number.

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, 6632671 + ... + 6782089.

It is an arithmetic number, because the mean of its divisors is an integer number (30883993350).

Almost surely, 21002210012220 is an apocalyptic number.

1002210012220 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 1002210012220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1111823760600).

1002210012220 is an abundant number, since it is smaller than the sum of its proper divisors (1221437508980).

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

1002210012220 is a wasteful number, since it uses less digits than its factorization.

1002210012220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150395 (or 150374 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1002210012220 its reverse (222100122001), we get a palindrome (1224310134221).

The spelling of 1002210012220 in words is "one trillion, two billion, two hundred ten million, twelve thousand, two hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 361 380 722 929 1444 1805 1858 3610 3716 4645 7220 9290 17651 18580 35302 70604 88255 149419 176510 298838 335369 353020 597676 670738 747095 1341476 1494190 1676845 2838961 2988380 3353690 5677922 6707380 11355844 14194805 28389610 53940259 56779220 107880518 138810251 215761036 269701295 277620502 539402590 555241004 694051255 1078805180 1388102510 2637394769 2776205020 5274789538 10549579076 13186973845 26373947690 50110500611 52747895380 100221001222 200442002444 250552503055 501105006110 1002210012220