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213112021024 = 2573740164123
BaseRepresentation
bin1100011001111001110…
…1110110000000100000
3202101002010212100220201
43012132131312000200
511442423134133044
6241522522114544
721253054201360
oct3063635660040
9671063770821
10213112021024
11824201a8711
123537694ba54
13171339830b6
14a45968a9a0
1558246527d4
hex319e776020

213112021024 has 96 divisors (see below), whose sum is σ = 493697344896. Its totient is φ = 88642252800.

The previous prime is 213112020997. The next prime is 213112021069. The reversal of 213112021024 is 420120211312.

It is a junction number, because it is equal to n+sod(n) for n = 213112020992 and 213112021010.

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, 3291427 + ... + 3355549.

It is an arithmetic number, because the mean of its divisors is an integer number (5142680676).

Almost surely, 2213112021024 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213112021024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246848672448).

213112021024 is an abundant number, since it is smaller than the sum of its proper divisors (280585323872).

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

213112021024 is a wasteful number, since it uses less digits than its factorization.

213112021024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64578 (or 64570 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 213112021024 its reverse (420120211312), we get a palindrome (633232232336).

The spelling of 213112021024 in words is "two hundred thirteen billion, one hundred twelve million, twenty-one thousand, twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 37 56 74 112 148 224 259 296 401 518 592 802 1036 1184 1604 2072 2807 3208 4144 5614 6416 8288 11228 12832 14837 22456 29674 44912 59348 64123 89824 103859 118696 128246 207718 237392 256492 415436 448861 474784 512984 830872 897722 1025968 1661744 1795444 2051936 2372551 3323488 3590888 4745102 7181776 9490204 14363552 16607857 18980408 25713323 33215714 37960816 51426646 66431428 75921632 102853292 132862856 179993261 205706584 265725712 359986522 411413168 531451424 719973044 822826336 951392951 1439946088 1902785902 2879892176 3805571804 5759784352 6659750657 7611143608 13319501314 15222287216 26639002628 30444574432 53278005256 106556010512 213112021024