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112202211121 = 71121324318229
BaseRepresentation
bin110100001111111000…
…1011101111100110001
3101201121120020220002221
41220133301131330301
53314242231223441
6123313414441041
711051322026020
oct1503761357461
9351546226087
10112202211121
114364824aa00
12198b4363181
13a771823b00
1456058788b7
152dba5ee8d1
hex1a1fc5df31

112202211121 has 72 divisors (see below), whose sum is σ = 156182389440. Its totient is φ = 78823704960.

The previous prime is 112202211113. The next prime is 112202211133. The reversal of 112202211121 is 121112202211.

It is not a de Polignac number, because 112202211121 - 23 = 112202211113 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112202211095 and 112202211104.

It is not an unprimeable number, because it can be changed into a prime (112202211101) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6146035 + ... + 6164263.

Almost surely, 2112202211121 is an apocalyptic number.

112202211121 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

112202211121 is a deficient number, since it is larger than the sum of its proper divisors (43980178319).

112202211121 is a wasteful number, since it uses less digits than its factorization.

112202211121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18327 (or 18303 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 112202211121 its reverse (121112202211), we get a palindrome (233314413332).

It can be divided in two parts, 112202211 and 121, that multiplied together give a palindrome (13576467531).

The spelling of 112202211121 in words is "one hundred twelve billion, two hundred two million, two hundred eleven thousand, one hundred twenty-one".

Divisors: 1 7 11 13 43 77 91 121 143 169 301 473 559 847 1001 1183 1573 1859 3311 3913 5203 6149 7267 11011 13013 18229 20449 36421 43043 50869 67639 79937 127603 143143 200519 236977 473473 559559 783847 879307 1403633 1658839 2205709 2606747 3080701 5486929 6155149 8622317 10190011 15439963 18247229 21564907 28674217 33887711 60356219 71330077 94845487 112090121 132470143 200719519 237213977 372764821 663918409 784630847 927291001 1232991331 1457171573 2609353747 8630939317 10200201011 16028887303 112202211121