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212121010002210 = 235374911783218287
BaseRepresentation
bin110000001110110001000101…
…011100110101100100100010
31000211001120101220101012102120
4300032301011130311210202
5210300342312030032320
62031051014031525110
762452144241352351
oct6016610534654442
91024046356335376
10212121010002210
1161652019187941
121b95a581089796
139148c0519586a
143a549d6b3b998
15197cb4a970440
hexc0ec45735922

212121010002210 has 128 divisors (see below), whose sum is σ = 524210731720704. Its totient is φ = 54893655210240.

The previous prime is 212121010002151. The next prime is 212121010002229. The reversal of 212121010002210 is 12200010121212.

It is a super-3 number, since 3×2121210100022103 (a number of 44 digits) contains 333 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 212121010002210.

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, 971643687 + ... + 971861973.

It is an arithmetic number, because the mean of its divisors is an integer number (4095396341568).

Almost surely, 2212121010002210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212121010002210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262105365860352).

212121010002210 is an abundant number, since it is smaller than the sum of its proper divisors (312089721718494).

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

212121010002210 is a wasteful number, since it uses less digits than its factorization.

212121010002210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220608.

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212121010002210 its reverse (12200010121212), we get a palindrome (224321020123422).

The spelling of 212121010002210 in words is "two hundred twelve trillion, one hundred twenty-one billion, ten million, two thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 37 74 111 185 222 370 491 555 982 1110 1473 1783 2455 2946 3566 4910 5349 7365 8915 10698 14730 17830 18167 26745 36334 53490 54501 65971 90835 109002 131942 181670 197913 218287 272505 329855 395826 436574 545010 654861 659710 875453 989565 1091435 1309722 1750906 1979130 2182870 2626359 3274305 4377265 5252718 6548610 8076619 8754530 13131795 16153238 24229857 26263590 32391761 40383095 48459714 64783522 80766190 97175283 107178917 121149285 161958805 194350566 214357834 242298570 321536751 323917610 389205721 485876415 535894585 643073502 778411442 971752830 1071789170 1167617163 1607683755 1946028605 2335234326 3215367510 3892057210 3965619929 5838085815 7931239858 11676171630 11896859787 14400611677 19828099645 23793719574 28801223354 39656199290 43201835031 59484298935 72003058385 86403670062 118968597870 144006116770 191100009011 216009175155 382200018022 432018350310 573300027033 955500045055 1146600054066 1911000090110 2866500135165 5733000270330 7070700333407 14141400666814 21212101000221 35353501667035 42424202000442 70707003334070 106060505001105 212121010002210