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212001144342 = 2313107227317353
BaseRepresentation
bin1100010101110001000…
…0001011111000010110
3202021012201112222120220
43011130100023320112
511433134243104332
6241220400135210
721213404665011
oct3053420137026
9667181488526
10212001144342
1181a00134609
1235106907506
1316cb7794810
14a391d1a378
1557abd6dd2c
hex315c40be16

212001144342 has 128 divisors (see below), whose sum is σ = 465691451904. Its totient is φ = 63952171008.

The previous prime is 212001144337. The next prime is 212001144349. The reversal of 212001144342 is 243441100212.

It is a super-2 number, since 2×2120011443422 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212001144349) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 600569638 + ... + 600569990.

It is an arithmetic number, because the mean of its divisors is an integer number (3638214468).

Almost surely, 2212001144342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212001144342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232845725952).

212001144342 is an abundant number, since it is smaller than the sum of its proper divisors (253690307562).

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

212001144342 is a wasteful number, since it uses less digits than its factorization.

212001144342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1022.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 212001144342 its reverse (243441100212), we get a palindrome (455442244554).

The spelling of 212001144342 in words is "two hundred twelve billion, one million, one hundred forty-four thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 26 39 78 107 214 227 317 321 353 454 634 642 681 706 951 1059 1362 1391 1902 2118 2782 2951 4121 4173 4589 5902 8242 8346 8853 9178 12363 13767 17706 24289 24726 27534 33919 37771 48578 67838 71959 72867 75542 80131 101757 111901 113313 143918 145734 160262 203514 215877 223802 226626 240393 315757 335703 431754 440947 480786 491023 631514 671406 881894 935467 947271 982046 1041703 1322841 1454713 1473069 1870934 1894542 2083406 2645682 2806401 2909426 2946138 3125109 4364139 5612802 6250218 7699613 8574017 8728278 11973407 15399226 17148034 23098839 23946814 25401527 25722051 35920221 46197678 50803054 51444102 71840442 76204581 100094969 111462221 152409162 155654291 200189938 222924442 300284907 311308582 330219851 334386663 466962873 600569814 660439702 668773326 933925746 990659553 1981319106 2717963389 5435926778 8153890167 16307780334 35333524057 70667048114 106000572171 212001144342