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101201430220 = 225118319129017
BaseRepresentation
bin101111001000000010…
…0110100011011001100
3100200012220100022200021
41132100010310123030
53124230031231340
6114254041511524
710211602651342
oct1362004643314
9320186308607
10101201430220
1139a12629440
12177441a25a4
13970a6b4bb7
144c80843992
152974958e4a
hex17901346cc

101201430220 has 96 divisors (see below), whose sum is σ = 235873161216. Its totient is φ = 36165542400.

The previous prime is 101201430167. The next prime is 101201430223. The reversal of 101201430220 is 22034102101.

It is a junction number, because it is equal to n+sod(n) for n = 101201430194 and 101201430203.

It is not an unprimeable number, because it can be changed into a prime (101201430223) 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, 3473152 + ... + 3502168.

It is an arithmetic number, because the mean of its divisors is an integer number (2457012096).

Almost surely, 2101201430220 is an apocalyptic number.

101201430220 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 101201430220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117936580608).

101201430220 is an abundant number, since it is smaller than the sum of its proper divisors (134671730996).

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

101201430220 is a wasteful number, since it uses less digits than its factorization.

101201430220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29311 (or 29309 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 101201430220 its reverse (22034102101), we get a palindrome (123235532321).

The spelling of 101201430220 in words is "one hundred one billion, two hundred one million, four hundred thirty thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 83 110 166 191 220 332 382 415 764 830 913 955 1660 1826 1910 2101 3652 3820 4202 4565 8404 9130 10505 15853 18260 21010 29017 31706 42020 58034 63412 79265 116068 145085 158530 174383 290170 317060 319187 348766 580340 638374 697532 871915 1276748 1595935 1743830 2408411 3191870 3487660 4816822 5542247 6383740 9633644 11084494 12042055 22168988 24084110 26492521 27711235 48168220 52985042 55422470 60964717 105970084 110844940 121929434 132462605 243858868 264925210 304823585 460006501 529850420 609647170 920013002 1219294340 1840026004 2300032505 4600065010 5060071511 9200130020 10120143022 20240286044 25300357555 50600715110 101201430220