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111121022202112 = 2813594391289129
BaseRepresentation
bin11001010001000001100001…
…000011100011000100000000
3112120110001210002121001210001
4121101001201003203010000
5104031101323140431422
61032200143132045344
732256141343152226
oct3121014103430400
9476401702531701
10111121022202112
113245218512883a
1210567bb9603854
134a0088a466080
141d6240137ab16
15cca7a5a49227
hex6510610e3100

111121022202112 has 144 divisors (see below), whose sum is σ = 243472310928000. Its totient is φ = 50302475845632.

The previous prime is 111121022202067. The next prime is 111121022202121. The reversal of 111121022202112 is 211202220121111.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 111121022202112.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85553964 + ... + 86843092.

It is an arithmetic number, because the mean of its divisors is an integer number (1690779937000).

Almost surely, 2111121022202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 111121022202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121736155464000).

111121022202112 is an abundant number, since it is smaller than the sum of its proper divisors (132351288725888).

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

111121022202112 is a wasteful number, since it uses less digits than its factorization.

111121022202112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1289656 (or 1289642 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 19.

Adding to 111121022202112 its reverse (211202220121111), we get a palindrome (322323242323223).

The spelling of 111121022202112 in words is "one hundred eleven trillion, one hundred twenty-one billion, twenty-two million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 59 64 104 118 128 208 236 256 416 439 472 767 832 878 944 1534 1664 1756 1888 3068 3328 3512 3776 5707 6136 7024 7552 11414 12272 14048 15104 22828 24544 25901 28096 45656 49088 51802 56192 91312 98176 103604 112384 182624 196352 207208 336713 365248 414416 673426 730496 828832 1289129 1346852 1460992 1657664 2578258 2693704 3315328 5156516 5387408 6630656 10313032 10774816 16758677 20626064 21549632 33517354 41252128 43099264 67034708 76058611 82504256 86198528 134069416 152117222 165008512 268138832 304234444 330017024 536277664 565927631 608468888 988761943 1072555328 1131855262 1216937776 1977523886 2145110656 2263710524 2433875552 3955047772 4290221312 4527421048 4867751104 7357059203 7910095544 9054842096 9735502208 14714118406 15820191088 18109684192 19471004416 29428236812 31640382176 33389730229 36219368384 58856473624 63280764352 66779460458 72438736768 117712947248 126561528704 133558920916 144877473536 235425894496 253123057408 267117841832 434066492977 470851788992 534235683664 868132985954 941703577984 1068471367328 1736265971908 1883407155968 2136942734656 3472531943816 4273885469312 6945063887632 8547770938624 13890127775264 27780255550528 55560511101056 111121022202112