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1002220120 = 2351110920897
BaseRepresentation
bin111011101111001…
…010101001011000
32120211212001112201
4323233022221120
54023032020440
6243241015544
733556505356
oct7357125130
92524761481
101002220120
114747aa8a0
1223b7845b4
1312c836875
14971687d6
155cebe19a
hex3bbcaa58

1002220120 has 64 divisors (see below), whose sum is σ = 2482682400. Its totient is φ = 361082880.

The previous prime is 1002220117. The next prime is 1002220129. The reversal of 1002220120 is 210222001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1002220097 and 1002220106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1002220129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37512 + ... + 58408.

Almost surely, 21002220120 is an apocalyptic number.

1002220120 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 1002220120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1241341200).

1002220120 is an abundant number, since it is smaller than the sum of its proper divisors (1480462280).

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

1002220120 is a wasteful number, since it uses less digits than its factorization.

1002220120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21028 (or 21024 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

The square root of 1002220120 is about 31657.8603193583. The cubic root of 1002220120 is about 1000.7394930153.

Adding to 1002220120 its reverse (210222001), we get a palindrome (1212442121).

It can be divided in two parts, 1002 and 220120, that added together give a palindrome (221122).

The spelling of 1002220120 in words is "one billion, two million, two hundred twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 109 110 218 220 436 440 545 872 1090 1199 2180 2398 4360 4796 5995 9592 11990 20897 23980 41794 47960 83588 104485 167176 208970 229867 417940 459734 835880 919468 1149335 1838936 2277773 2298670 4555546 4597340 9111092 9194680 11388865 18222184 22777730 25055503 45555460 50111006 91110920 100222012 125277515 200444024 250555030 501110060 1002220120