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1221111010002 = 2313312837972239
BaseRepresentation
bin10001110001001111111…
…000110101001011010010
311022201220022210112102210
4101301033320311023102
5130001313404310002
62332545354452550
7154136161220112
oct21611770651322
94281808715383
101221111010002
114309633703a4
121787ab734156
138b1c51c97c0
14431601b7042
1521b6d26496c
hex11c4fe352d2

1221111010002 has 128 divisors (see below), whose sum is σ = 2729156935680. Its totient is φ = 361705201920.

The previous prime is 1221111009947. The next prime is 1221111010037. The reversal of 1221111010002 is 2000101111221.

It is a super-2 number, since 2×12211110100022 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1221111010002.

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, 545381199 + ... + 545383437.

It is an arithmetic number, because the mean of its divisors is an integer number (21321538560).

Almost surely, 21221111010002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1221111010002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1364578467840).

1221111010002 is an abundant number, since it is smaller than the sum of its proper divisors (1508045925678).

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

1221111010002 is a wasteful number, since it uses less digits than its factorization.

1221111010002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3368.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1221111010002 its reverse (2000101111221), we get a palindrome (3221212121223).

The spelling of 1221111010002 in words is "one trillion, two hundred twenty-one billion, one hundred eleven million, ten thousand, two".

Divisors: 1 2 3 6 13 26 31 39 62 78 93 186 283 403 566 797 806 849 1209 1594 1698 2239 2391 2418 3679 4478 4782 6717 7358 8773 10361 11037 13434 17546 20722 22074 24707 26319 29107 31083 49414 52638 58214 62166 69409 74121 87321 114049 138818 148242 174642 208227 225551 228098 321191 342147 416454 451102 633637 642382 676653 684294 902317 963573 1267274 1353306 1784483 1804634 1900911 1927146 2706951 2932163 3568966 3801822 5353449 5413902 5864326 6992081 8237281 8796489 10706898 13984162 16474562 17592978 19642747 20976243 23198279 24711843 39285494 41952486 46396558 49423686 55318973 58928241 69594837 90897053 110637946 117856482 139189674 165956919 181794106 255355711 272691159 331913838 505008689 510711422 545382318 719146649 766067133 1010017378 1438293298 1515026067 1532134266 2157439947 3030052134 4314879894 6565112957 13130225914 15655269359 19695338871 31310538718 39390677742 46965808077 93931616154 203518501667 407037003334 610555505001 1221111010002