Search a number
-
+
2201021012020 = 2252353191472669
BaseRepresentation
bin100000000001110111000…
…100110101100000110100
321210102012221100022122111
4200001313010311200310
5242030142334341040
64403045102540404
7315006231625345
oct40016704654064
97712187308574
102201021012020
117794a1a87476
122b66a5597704
1312c72b26966c
147875c3cc0cc
153c3c0dd3dea
hex20077135834

2201021012020 has 96 divisors (see below), whose sum is σ = 4939847700480. Its totient is φ = 821912931840.

The previous prime is 2201021011999. The next prime is 2201021012077. The reversal of 2201021012020 is 202101201022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4420246 + ... + 4892914.

It is an arithmetic number, because the mean of its divisors is an integer number (51456746880).

Almost surely, 22201021012020 is an apocalyptic number.

2201021012020 is a gapful number since it is divisible by the number (20) 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 2201021012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2469923850240).

2201021012020 is an abundant number, since it is smaller than the sum of its proper divisors (2738826688460).

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

2201021012020 is a wasteful number, since it uses less digits than its factorization.

2201021012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 472945 (or 472943 counting only the distinct ones).

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

Adding to 2201021012020 its reverse (202101201022), we get a palindrome (2403122213042).

The spelling of 2201021012020 in words is "two trillion, two hundred one billion, twenty-one million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 23 46 53 92 106 115 191 212 230 265 382 460 530 764 955 1060 1219 1910 2438 3820 4393 4876 6095 8786 10123 12190 17572 20246 21965 24380 40492 43930 50615 87860 101230 202460 232829 465658 472669 931316 945338 1164145 1890676 2328290 2363345 4656580 4726690 9453380 10871387 21742774 25051457 43485548 50102914 54356935 90279779 100205828 108713870 125257285 180559558 217427740 250514570 361119116 451398895 501029140 576183511 902797790 1152367022 1805595580 2076434917 2304734044 2880917555 4152869834 4784828287 5761835110 8305739668 9569656574 10382174585 11523670220 19139313148 20764349170 23924141435 41528698340 47848282870 95696565740 110051050601 220102101202 440204202404 550255253005 1100510506010 2201021012020