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212211112100010 = 235531992412782921
BaseRepresentation
bin110000010000000100111111…
…111101000100000010101010
31000211101011222021101000101220
4300100010333331010002222
5210303331324144200020
62031200234500322510
762461514120506212
oct6020047775040252
91024334867330356
10212211112100010
11616872554a2581
121b973b280a3436
1391545641b442a
143a59103415242
151980170c68240
hexc1013ff440aa

212211112100010 has 128 divisors (see below), whose sum is σ = 523688035622400. Its totient is φ = 55013653094400.

The previous prime is 212211112099949. The next prime is 212211112100021. The reversal of 212211112100010 is 10001211112212.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 74863350 + ... + 77646270.

It is an arithmetic number, because the mean of its divisors is an integer number (4091312778300).

Almost surely, 2212211112100010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212211112100010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261844017811200).

212211112100010 is an abundant number, since it is smaller than the sum of its proper divisors (311476923522390).

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

212211112100010 is a wasteful number, since it uses less digits than its factorization.

212211112100010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783424.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 212211112100010 its reverse (10001211112212), we get a palindrome (222212323212222).

The spelling of 212211112100010 in words is "two hundred twelve trillion, two hundred eleven billion, one hundred twelve million, one hundred thousand, ten".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 199 241 265 318 398 482 530 597 723 795 995 1194 1205 1446 1590 1990 2410 2985 3615 5970 7230 10547 12773 21094 25546 31641 38319 47959 52735 63282 63865 76638 95918 105470 127730 143877 158205 191595 239795 287754 316410 383190 479590 719385 1438770 2541827 2782921 5083654 5565842 7625481 8348763 12709135 13914605 15250962 16697526 25418270 27829210 38127405 41743815 76254810 83487630 147494813 294989626 442484439 553801279 670683961 737474065 884968878 1107602558 1341367922 1474948130 1661403837 2012051883 2212422195 2769006395 3322807674 3353419805 4024103766 4424844390 5538012790 6706839610 8307019185 10060259415 16614038370 20120518830 29351467787 35546249933 58702935574 71092499866 88054403361 106638749799 133466108239 146757338935 176108806722 177731249665 213277499598 266932216478 293514677870 355462499330 400398324717 440272016805 533193748995 667330541195 800796649434 880544033610 1066387497990 1334661082390 2001991623585 4003983247170 7073703736667 14147407473334 21221111210001 35368518683335 42442222420002 70737037366670 106105556050005 212211112100010