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1221020321010 = 235771155952529
BaseRepresentation
bin10001110001001010011…
…110111000010011110010
311022201200000011001112020
4101301022132320103302
5130001122200233020
62332532355012310
7154134010324530
oct21611236702362
94281600131466
101221020321010
11430917159416
1217878529a096
138b1ac496089
144315212b150
1521b652edc40
hex11c4a7b84f2

1221020321010 has 128 divisors (see below), whose sum is σ = 3398497689600. Its totient is φ = 274977776640.

The previous prime is 1221020320997. The next prime is 1221020321011. The reversal of 1221020321010 is 101230201221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (1221020321011) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23218426 + ... + 23270954.

It is an arithmetic number, because the mean of its divisors is an integer number (26550763200).

Almost surely, 21221020321010 is an apocalyptic number.

1221020321010 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 1221020321010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1699248844800).

1221020321010 is an abundant number, since it is smaller than the sum of its proper divisors (2177477368590).

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

1221020321010 is a wasteful number, since it uses less digits than its factorization.

1221020321010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54176.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 1221020321010 its reverse (101230201221), we get a palindrome (1322250522231).

The spelling of 1221020321010 in words is "one trillion, two hundred twenty-one billion, twenty million, three hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 71 105 142 210 213 355 426 497 710 994 1065 1491 1559 2130 2485 2982 3118 4677 4970 7455 7795 9354 10913 14910 15590 21826 23385 32739 46770 52529 54565 65478 105058 109130 110689 157587 163695 221378 262645 315174 327390 332067 367703 525290 553445 664134 735406 774823 787935 1103109 1106890 1549646 1575870 1660335 1838515 2206218 2324469 3320670 3677030 3729559 3874115 4648938 5515545 7459118 7748230 11031090 11188677 11622345 18647795 22377354 23244690 26106913 37295590 52213826 55943385 78320739 81892711 111886770 130534565 156641478 163785422 245678133 261069130 391603695 409463555 491356266 573248977 783207390 818927110 1146497954 1228390665 1719746931 2456781330 2866244885 3439493862 5732489770 5814382481 8598734655 11628764962 17197469310 17443147443 29071912405 34886294886 40700677367 58143824810 81401354734 87215737215 122102032101 174431474430 203503386835 244204064202 407006773670 610510160505 1221020321010