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212204123430 = 235131397395297
BaseRepresentation
bin1100010110100001011…
…0011111010100100110
3202021201212111101112220
43011220112133110212
511434043223422210
6241252450453210
721221421200535
oct3055026372446
9667655441486
10212204123430
1181aa4771822
1235162894206
131701a852aa0
14a3b0c7631c
1557beab5c70
hex316859f526

212204123430 has 128 divisors (see below), whose sum is σ = 553263782400. Its totient is φ = 51779119104.

The previous prime is 212204123399. The next prime is 212204123447. The reversal of 212204123430 is 34321402212.

It is a happy number.

212204123430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 212204123430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40058542 + ... + 40063838.

It is an arithmetic number, because the mean of its divisors is an integer number (4322373300).

Almost surely, 2212204123430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212204123430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276631891200).

212204123430 is an abundant number, since it is smaller than the sum of its proper divisors (341059658970).

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

212204123430 is a wasteful number, since it uses less digits than its factorization.

212204123430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6198.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 212204123430 its reverse (34321402212), we get a palindrome (246525525642).

The spelling of 212204123430 in words is "two hundred twelve billion, two hundred four million, one hundred twenty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 139 195 278 390 417 695 739 834 1390 1478 1807 2085 2217 3614 3695 4170 4434 5297 5421 7390 9035 9607 10594 10842 11085 15891 18070 19214 22170 26485 27105 28821 31782 48035 52970 54210 57642 68861 79455 96070 102721 137722 144105 158910 205442 206583 288210 308163 344305 413166 513605 616326 688610 736283 1027210 1032915 1335373 1472566 1540815 2065830 2208849 2670746 3081630 3681415 3914483 4006119 4417698 6676865 7362830 7828966 8012238 9571679 11044245 11743449 13353730 19143358 19572415 20030595 22088490 23486898 28715037 39144830 40061190 47858395 50888279 57430074 58717245 95716790 101776558 117434490 143575185 152664837 254441395 287150370 305329674 508882790 544113137 763324185 1088226274 1526648370 1632339411 2720565685 3264678822 5441131370 7073470781 8161697055 14146941562 16323394110 21220412343 35367353905 42440824686 70734707810 106102061715 212204123430