Search a number
-
+
202131244104 = 23341934121991
BaseRepresentation
bin1011110000111111110…
…1100000010001001000
3201022201212121002210020
42330033331200101020
511302431044302404
6232505142020440
720414000140446
oct2741775402110
9638655532706
10202131244104
11787a58aa469
1233211417720
13160a3a2936a
149ad7181b96
1553d060ded9
hex2f0ff60448

202131244104 has 64 divisors (see below), whose sum is σ = 517732145280. Its totient is φ = 65723712000.

The previous prime is 202131244099. The next prime is 202131244109. The reversal of 202131244104 is 401442131202.

It is an interprime number because it is at equal distance from previous prime (202131244099) and next prime (202131244109).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (202131244109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9180549 + ... + 9202539.

It is an arithmetic number, because the mean of its divisors is an integer number (8089564770).

Almost surely, 2202131244104 is an apocalyptic number.

202131244104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

202131244104 is an abundant number, since it is smaller than the sum of its proper divisors (315600901176).

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

202131244104 is a wasteful number, since it uses less digits than its factorization.

202131244104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31382 (or 31378 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 202131244104 its reverse (401442131202), we get a palindrome (603573375306).

It can be divided in two parts, 20213 and 1244104, that multiplied together give a palindrome (25147074152).

The spelling of 202131244104 in words is "two hundred two billion, one hundred thirty-one million, two hundred forty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 9341 18682 21991 28023 37364 43982 56046 65973 74728 87964 112092 131946 175928 224184 263892 382981 527784 765962 901631 1148943 1531924 1803262 2297886 2704893 3063848 3606524 4595772 5409786 7213048 9191544 10819572 21639144 205417931 410835862 616253793 821671724 1232507586 1643343448 2465015172 4930030344 8422135171 16844270342 25266405513 33688540684 50532811026 67377081368 101065622052 202131244104