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213211100142 = 232374767101663
BaseRepresentation
bin1100011010010001011…
…1110011001111101110
3202101100001022002220200
43012210113303033232
511443124020201032
6241540421454330
721255366306645
oct3064427631756
9671301262820
10213211100142
1182471120287
12353a3b713a6
131714b3636b1
14a4688bc35c
15582d1c447c
hex31a45f33ee

213211100142 has 96 divisors (see below), whose sum is σ = 491773980672. Its totient is φ = 66667499712.

The previous prime is 213211100107. The next prime is 213211100213. The reversal of 213211100142 is 241001112312.

213211100142 is a `hidden beast` number, since 213 + 211 + 100 + 142 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2046403 + ... + 2148065.

It is an arithmetic number, because the mean of its divisors is an integer number (5122645632).

Almost surely, 2213211100142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213211100142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245886990336).

213211100142 is an abundant number, since it is smaller than the sum of its proper divisors (278562880530).

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

213211100142 is a wasteful number, since it uses less digits than its factorization.

213211100142 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101822 (or 101819 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 213211100142 its reverse (241001112312), we get a palindrome (454212212454).

The spelling of 213211100142 in words is "two hundred thirteen billion, two hundred eleven million, one hundred thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 18 37 47 67 74 94 111 134 141 201 222 282 333 402 423 603 666 846 1206 1739 2479 3149 3478 4958 5217 6298 7437 9447 10434 14874 15651 18894 22311 28341 31302 44622 56682 101663 116513 203326 233026 304989 349539 609978 699078 914967 1048617 1829934 2097234 3761531 4778161 6811421 7523062 9556322 11284593 13622842 14334483 20434263 22569186 28668966 33853779 40868526 43003449 61302789 67707558 86006898 122605578 176791957 252022577 320136787 353583914 504045154 530375871 640273574 756067731 960410361 1060751742 1512135462 1591127613 1920820722 2268203193 2881231083 3182255226 4536406386 5762462166 11845061119 23690122238 35535183357 71070366714 106605550071 213211100142