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110201121200020 = 2253110091277137947
BaseRepresentation
bin11001000011101000110010…
…101011101101011110010100
3112110012010100121120022220011
4121003220302223231132110
5103421013344011400040
61030213410213050004
732132524341514354
oct3103506253553624
9473163317508804
10110201121200020
113212803aa86584
1210439870626904
134964bc89849a6
141d2da96cbcb64
15cb18b63093ea
hex643a32aed794

110201121200020 has 96 divisors (see below), whose sum is σ = 239313338127360. Its totient is φ = 42582539704320.

The previous prime is 110201121200011. The next prime is 110201121200029. The reversal of 110201121200020 is 20002121102011.

It is an interprime number because it is at equal distance from previous prime (110201121200011) and next prime (110201121200029).

It is a super-2 number, since 2×1102011212000202 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110201121200029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 798796687 + ... + 798934633.

It is an arithmetic number, because the mean of its divisors is an integer number (2492847272160).

Almost surely, 2110201121200020 is an apocalyptic number.

110201121200020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110201121200020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119656669063680).

110201121200020 is an abundant number, since it is smaller than the sum of its proper divisors (129112216927340).

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

110201121200020 is a wasteful number, since it uses less digits than its factorization.

110201121200020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140273 (or 140271 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 110201121200020 its reverse (20002121102011), we get a palindrome (130203242302031).

The spelling of 110201121200020 in words is "one hundred ten trillion, two hundred one billion, one hundred twenty-one million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 31 62 124 155 310 620 1009 1277 2018 2554 4036 5045 5108 6385 10090 12770 20180 25540 31279 39587 62558 79174 125116 137947 156395 158348 197935 275894 312790 395870 551788 625580 689735 791740 1288493 1379470 2576986 2758940 4276357 5153972 6442465 8552714 12884930 17105428 21381785 25769860 39943283 42763570 79886566 85527140 139188523 159773132 176158319 199716415 278377046 352316638 399432830 556754092 695942615 704633276 798865660 880791595 1391885230 1761583190 2783770460 3523166380 4314844213 5460907889 8629688426 10921815778 17259376852 21574221065 21843631556 27304539445 43148442130 54609078890 86296884260 109218157780 177743743871 355487487742 710974975484 888718719355 1777437438710 3554874877420 5510056060001 11020112120002 22040224240004 27550280300005 55100560600010 110201121200020