Search a number
-
+
101120221200 = 24352791066669
BaseRepresentation
bin101111000101100111…
…1000010000000010000
3100200000020112110211210
41132023033002000100
53124043234034300
6114242021140120
710206565461345
oct1361317020020
9320006473753
10101120221200
1139980801949
1217720b5a640
1396c692041b
144c73b447cc
15296c767050
hex178b3c2010

101120221200 has 120 divisors (see below), whose sum is σ = 328022358400. Its totient is φ = 26624033280.

The previous prime is 101120221199. The next prime is 101120221201. The reversal of 101120221200 is 2122021101.

It is an interprime number because it is at equal distance from previous prime (101120221199) and next prime (101120221201).

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101120221201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 438535 + ... + 628134.

Almost surely, 2101120221200 is an apocalyptic number.

101120221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101120221200 is an abundant number, since it is smaller than the sum of its proper divisors (226902137200).

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

101120221200 is a wasteful number, since it uses less digits than its factorization.

101120221200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1066769 (or 1066758 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101120221200 its reverse (2122021101), we get a palindrome (103242242301).

The spelling of 101120221200 in words is "one hundred one billion, one hundred twenty million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 79 80 100 120 150 158 200 237 240 300 316 395 400 474 600 632 790 948 1185 1200 1264 1580 1896 1975 2370 3160 3792 3950 4740 5925 6320 7900 9480 11850 15800 18960 23700 31600 47400 94800 1066669 2133338 3200007 4266676 5333345 6400014 8533352 10666690 12800028 16000035 17066704 21333380 25600056 26666725 32000070 42666760 51200112 53333450 64000140 80000175 84266851 85333520 106666900 128000280 160000350 168533702 213333800 252800553 256000560 320000700 337067404 421334255 426667600 505601106 640001400 674134808 842668510 1011202212 1264002765 1280002800 1348269616 1685337020 2022404424 2106671275 2528005530 3370674040 4044808848 4213342550 5056011060 6320013825 6741348080 8426685100 10112022120 12640027650 16853370200 20224044240 25280055300 33706740400 50560110600 101120221200