Search a number
-
+
122111000121110 = 257111357721141943
BaseRepresentation
bin11011110000111100101110…
…110010010000111100010110
3121000100200211112221021112012
4123300330232302100330112
5112001131312012333420
61111413004035424222
734502141263146530
oct3360745662207426
9530320745837465
10122111000121110
11359a9a91160980
1211841b1aa55072
13531a03043b280
1422222bd882850
15e1b5c2432dc5
hex6f0f2ec90f16

122111000121110 has 128 divisors (see below), whose sum is σ = 295627295545344. Its totient is φ = 35071944744960.

The previous prime is 122111000121109. The next prime is 122111000121163. The reversal of 122111000121110 is 11121000111221.

It is a super-2 number, since 2×1221110001211102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 4795202 + ... + 16346741.

It is an arithmetic number, because the mean of its divisors is an integer number (2309588246448).

Almost surely, 2122111000121110 is an apocalyptic number.

122111000121110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

122111000121110 is an abundant number, since it is smaller than the sum of its proper divisors (173516295424234).

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

122111000121110 is a wasteful number, since it uses less digits than its factorization.

122111000121110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21142558.

The product of its (nonzero) digits is 8, while the sum is 14.

Adding to 122111000121110 its reverse (11121000111221), we get a palindrome (133232000232331).

The spelling of 122111000121110 in words is "one hundred twenty-two trillion, one hundred eleven billion, one hundred twenty-one thousand, one hundred ten".

Divisors: 1 2 5 7 10 11 13 14 22 26 35 55 65 70 77 91 110 130 143 154 182 286 385 455 577 715 770 910 1001 1154 1430 2002 2885 4039 5005 5770 6347 7501 8078 10010 12694 15002 20195 31735 37505 40390 44429 52507 63470 75010 82511 88858 105014 165022 222145 262535 412555 444290 525070 577577 825110 1155154 2887885 5775770 21141943 42283886 105709715 147993601 211419430 232561373 274845259 295987202 465122746 549690518 739968005 1162806865 1374226295 1479936010 1627929611 1923916813 2325613730 2748452590 3023297849 3255859222 3847833626 6046595698 8139648055 9619584065 12198901111 15116489245 16279296110 19239168130 21163084943 24397802222 30232978490 42326169886 60994505555 85392307777 105815424715 121989011110 134187912221 158585714443 170784615554 211630849430 268375824442 317171428886 426961538885 670939561105 792928572215 853923077770 939315385547 1110100001101 1341879122210 1585857144430 1744442858873 1878630771094 2220200002202 3488885717746 4696576927735 5550500005505 8722214294365 9393153855470 11101000011010 12211100012111 17444428588730 24422200024222 61055500060555 122111000121110