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213219911814 = 237134159915901
BaseRepresentation
bin1100011010010011100…
…1011010100010000110
3202101100122212210020220
43012210321122202012
511443133244134224
6241541334405210
721255534226650
oct3064471324206
9671318783226
10213219911814
1182476099658
12353a6b00806
131715012a3c0
14a469b336d0
15582dd65279
hex31a4e5a886

213219911814 has 128 divisors (see below), whose sum is σ = 538581657600. Its totient is φ = 54767232000.

The previous prime is 213219911809. The next prime is 213219911833. The reversal of 213219911814 is 418119912312.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 13401264 + ... + 13417164.

It is an arithmetic number, because the mean of its divisors is an integer number (4207669200).

Almost surely, 2213219911814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213219911814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (269290828800).

213219911814 is an abundant number, since it is smaller than the sum of its proper divisors (325361745786).

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

213219911814 is a wasteful number, since it uses less digits than its factorization.

213219911814 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16566.

The product of its digits is 31104, while the sum is 42.

The spelling of 213219911814 in words is "two hundred thirteen billion, two hundred nineteen million, nine hundred eleven thousand, eight hundred fourteen".

Divisors: 1 2 3 6 7 13 14 21 26 39 41 42 78 82 91 123 182 246 273 287 533 546 574 599 861 1066 1198 1599 1722 1797 3198 3594 3731 4193 7462 7787 8386 11193 12579 15574 15901 22386 23361 24559 25158 31802 46722 47703 49118 54509 73677 95406 109018 111307 147354 163527 171913 206713 222614 319267 327054 333921 343826 413426 515739 620139 638534 651941 667842 957801 1031478 1240278 1303882 1446991 1915602 1955823 2234869 2893982 3911646 4340973 4469738 4563587 6704607 8475233 8681946 9127174 9524699 13409214 13690761 16950466 19049398 25425699 27381522 28574097 50851398 57148194 59326631 66672893 118653262 123821087 133345786 177979893 200018679 247642174 355959786 371463261 390512659 400037358 742926522 781025318 866747609 1171537977 1733495218 2343075954 2600242827 2733588613 5076664567 5200485654 5467177226 8200765839 10153329134 15229993701 16401531678 30459987402 35536651969 71073303938 106609955907 213219911814