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112201021120110 = 235131818871791967
BaseRepresentation
bin11001100000101111010110…
…000000011101111001101110
3112201021022110002002121000220
4121200233112000131321232
5104201300142401320420
61034344234301032210
732430153620405316
oct3140572600357156
9481238402077026
10112201021120110
113282920539089a
1210701386b55666
134a7b684578080
141d9c7b635a446
15ce8915618840
hex660bd601de6e

112201021120110 has 128 divisors (see below), whose sum is σ = 291927585890304. Its totient is φ = 27435142817280.

The previous prime is 112201021120081. The next prime is 112201021120169. The reversal of 112201021120110 is 11021120102211.

It is a happy number.

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

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 112201021120110.

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, 61717347 + ... + 63509313.

It is an arithmetic number, because the mean of its divisors is an integer number (2280684264768).

Almost surely, 2112201021120110 is an apocalyptic number.

112201021120110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112201021120110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145963792945152).

112201021120110 is an abundant number, since it is smaller than the sum of its proper divisors (179726564770194).

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

112201021120110 is a wasteful number, since it uses less digits than its factorization.

112201021120110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793058.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112201021120110 its reverse (11021120102211), we get a palindrome (123222141222321).

The spelling of 112201021120110 in words is "one hundred twelve trillion, two hundred one billion, twenty-one million, one hundred twenty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 181 195 362 390 543 887 905 1086 1774 1810 2353 2661 2715 4435 4706 5322 5430 7059 8870 11531 11765 13305 14118 23062 23530 26610 34593 35295 57655 69186 70590 115310 160547 172965 321094 345930 481641 802735 963282 1605470 1791967 2087111 2408205 3583934 4174222 4816410 5375901 6261333 8959835 10435555 10751802 12522666 17919670 20871110 23295571 26879505 31306665 46591142 53759010 62613330 69886713 116477855 139773426 232955710 324346027 349433565 648692054 698867130 973038081 1589474729 1621730135 1946076162 3178949458 3243460270 4216498351 4768424187 4865190405 7947373645 8432996702 9536848374 9730380810 12649495053 15894747290 20663171477 21082491755 23842120935 25298990106 41326342954 42164983510 47684241870 61989514431 63247475265 103315857385 123979028862 126494950530 206631714770 287694925949 309947572155 575389851898 619895144310 863084777847 1438474629745 1726169555694 2876949259490 3740034037337 4315423889235 7480068074674 8630847778470 11220102112011 18700170186685 22440204224022 37400340373370 56100510560055 112201021120110