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20021200120 = 2351793178821
BaseRepresentation
bin10010101001010110…
…110100010011111000
31220200022102100100101
4102221112310103320
5312000411400440
613110403445144
71306100251555
oct225126642370
956608370311
1020021200120
118544499a89
123a690867b4
131b70bbb39c
14d7d043a2c
157c2a5769a
hex4a95b44f8

20021200120 has 64 divisors (see below), whose sum is σ = 45447415200. Its totient is φ = 7937717760.

The previous prime is 20021200117. The next prime is 20021200141. The reversal of 20021200120 is 2100212002.

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 = 20021200097 and 20021200106.

It is a congruent number.

It is an unprimeable number.

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, 2265310 + ... + 2274130.

Almost surely, 220021200120 is an apocalyptic number.

20021200120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021200120 is an abundant number, since it is smaller than the sum of its proper divisors (25426215080).

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

20021200120 is a wasteful number, since it uses less digits than its factorization.

20021200120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9328 (or 9324 counting only the distinct ones).

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

Adding to 20021200120 its reverse (2100212002), we get a palindrome (22121412122).

The spelling of 20021200120 in words is "twenty billion, twenty-one million, two hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 179 317 358 634 716 895 1268 1432 1585 1790 2536 3170 3580 6340 7160 8821 12680 17642 35284 44105 56743 70568 88210 113486 176420 226972 283715 352840 453944 567430 1134860 1578959 2269720 2796257 3157918 5592514 6315836 7894795 11185028 12631672 13981285 15789590 22370056 27962570 31579180 55925140 63158360 111850280 500530003 1001060006 2002120012 2502650015 4004240024 5005300030 10010600060 20021200120