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102022120020 = 223516217104851
BaseRepresentation
bin101111100000011111…
…1100000001001010100
3100202100002121200102210
41133000333200021110
53132420130320040
6114511320033420
710241126466102
oct1370077401124
9322302550383
10102022120020
113a2a3910877
1217933002870
13980b730172
144d1b836c72
1529c1a1b480
hex17c0fe0254

102022120020 has 48 divisors (see below), whose sum is σ = 285682275648. Its totient is φ = 27203961600.

The previous prime is 102022119977. The next prime is 102022120063. The reversal of 102022120020 is 20021220201.

It is an interprime number because it is at equal distance from previous prime (102022119977) and next prime (102022120063).

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

It is a junction number, because it is equal to n+sod(n) for n = 102022119978 and 102022120005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 920595 + ... + 1025445.

It is an arithmetic number, because the mean of its divisors is an integer number (5951714076).

Almost surely, 2102022120020 is an apocalyptic number.

102022120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102022120020 is an abundant number, since it is smaller than the sum of its proper divisors (183660155628).

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

102022120020 is a wasteful number, since it uses less digits than its factorization.

102022120020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121080 (or 121078 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 102022120020 its reverse (20021220201), we get a palindrome (122043340221).

The spelling of 102022120020 in words is "one hundred two billion, twenty-two million, one hundred twenty thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 16217 32434 48651 64868 81085 97302 104851 162170 194604 209702 243255 314553 324340 419404 486510 524255 629106 973020 1048510 1258212 1572765 2097020 3145530 6291060 1700368667 3400737334 5101106001 6801474668 8501843335 10202212002 17003686670 20404424004 25505530005 34007373340 51011060010 102022120020