Search a number
-
+
1211222002020 = 2235177731536187
BaseRepresentation
bin10001101000000010011…
…101010000100101100100
311021210101010212212201220
4101220002131100211210
5124321040313031040
62324232215020340
7153336132101052
oct21500235204544
94253333785656
101211222002020
11427749275328
121768ab96a6b0
138a2aa5010a4
14428a2aa71d2
152178eecd2d0
hex11a02750964

1211222002020 has 96 divisors (see below), whose sum is σ = 3595564764288. Its totient is φ = 303599511552.

The previous prime is 1211222002019. The next prime is 1211222002021. The reversal of 1211222002020 is 202002221121.

It is an interprime number because it is at equal distance from previous prime (1211222002019) and next prime (1211222002021).

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 (1211222002021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20367 + ... + 1556553.

It is an arithmetic number, because the mean of its divisors is an integer number (37453799628).

Almost surely, 21211222002020 is an apocalyptic number.

1211222002020 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 1211222002020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1797782382144).

1211222002020 is an abundant number, since it is smaller than the sum of its proper divisors (2384342762268).

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

1211222002020 is a wasteful number, since it uses less digits than its factorization.

1211222002020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1536989 (or 1536987 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1211222002020 its reverse (202002221121), we get a palindrome (1413224223141).

The spelling of 1211222002020 in words is "one trillion, two hundred eleven billion, two hundred twenty-two million, two thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 30 34 51 60 68 85 102 170 204 255 340 510 773 1020 1546 2319 3092 3865 4638 7730 9276 11595 13141 15460 23190 26282 39423 46380 52564 65705 78846 131410 157692 197115 262820 394230 788460 1536187 3072374 4608561 6144748 7680935 9217122 15361870 18434244 23042805 26115179 30723740 46085610 52230358 78345537 92171220 104460716 130575895 156691074 261151790 313382148 391727685 522303580 783455370 1187472551 1566910740 2374945102 3562417653 4749890204 5937362755 7124835306 11874725510 14249670612 17812088265 20187033367 23749451020 35624176530 40374066734 60561100101 71248353060 80748133468 100935166835 121122200202 201870333670 242244400404 302805500505 403740667340 605611001010 1211222002020