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212000202096 = 243167223233509
BaseRepresentation
bin1100010101110000110…
…0100101110101110000
3202021012122210010001220
43011130030211311300
511433134022431341
6241220324025040
721213363661644
oct3053414456560
9667178703056
10212000202096
11819aa6506a1
1235106532180
1316cb7524987
14a391b52c24
1557abc34a66
hex315c325d70

212000202096 has 160 divisors (see below), whose sum is σ = 556884357120. Its totient is φ = 69491668992.

The previous prime is 212000202041. The next prime is 212000202121. The reversal of 212000202096 is 690202000212.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 416503090 + ... + 416503598.

It is an arithmetic number, because the mean of its divisors is an integer number (3480527232).

Almost surely, 2212000202096 is an apocalyptic number.

It is an amenable number.

212000202096 is an abundant number, since it is smaller than the sum of its proper divisors (344884155024).

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

212000202096 is a wasteful number, since it uses less digits than its factorization.

212000202096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1137 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The spelling of 212000202096 in words is "two hundred twelve billion, two hundred two thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 167 223 233 334 446 466 501 509 668 669 699 892 932 1002 1018 1336 1338 1398 1527 1784 1864 2004 2036 2672 2676 2796 3054 3568 3728 4008 4072 5352 5592 6108 8016 8144 10704 11184 12216 24432 37241 38911 51959 74482 77822 85003 103918 111723 113507 116733 118597 148964 155644 155877 170006 207836 223446 227014 233466 237194 255009 297928 311288 311754 340012 340521 355791 415672 446892 454028 466932 474388 510018 595856 622576 623508 680024 681042 711582 831344 893784 908056 933864 948776 1020036 1247016 1360048 1362084 1423164 1787568 1816112 1867728 1897552 2040072 2494032 2724168 2846328 4080144 5448336 5692656 8677153 17354306 18955669 19805699 26031459 26447131 34708612 37911338 39611398 52062918 52894262 56867007 59417097 69417224 75822676 79222796 79341393 104125836 105788524 113734014 118834194 138834448 151645352 158445592 158682786 208251672 211577048 227468028 237668388 303290704 316891184 317365572 416503344 423154096 454936056 475336776 634731144 909872112 950673552 1269462288 4416670877 8833341754 13250012631 17666683508 26500025262 35333367016 53000050524 70666734032 106000101048 212000202096