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10200412024131 = 373742413095483
BaseRepresentation
bin1001010001101111011111…
…1011110110110101000011
31100010011001020210221011210
42110123313323312311003
52314110420434233011
633410000554141203
72101645501422660
oct224336773666503
940104036727153
1010200412024131
113282a7473302a
121188aa9421803
1358cb82938c54
142739b9c24a67
1512a5096536a6
hex946f7ef6d43

10200412024131 has 32 divisors (see below), whose sum is σ = 15967348443648. Its totient is φ = 5669932469760.

The previous prime is 10200412024123. The next prime is 10200412024133. The reversal of 10200412024131 is 13142021400201.

It is not a de Polignac number, because 10200412024131 - 23 = 10200412024123 is a prime.

It is a super-2 number, since 2×102004120241312 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 10200412024098 and 10200412024107.

It is not an unprimeable number, because it can be changed into a prime (10200412024133) 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, 1747516 + ... + 4842998.

It is an arithmetic number, because the mean of its divisors is an integer number (498979638864).

Almost surely, 210200412024131 is an apocalyptic number.

10200412024131 is a deficient number, since it is larger than the sum of its proper divisors (5766936419517).

10200412024131 is a wasteful number, since it uses less digits than its factorization.

10200412024131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3099771.

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 10200412024131 its reverse (13142021400201), we get a palindrome (23342433424332).

The spelling of 10200412024131 in words is "ten trillion, two hundred billion, four hundred twelve million, twenty-four thousand, one hundred thirty-one".

Divisors: 1 3 7 21 37 111 259 777 4241 12723 29687 89061 156917 470751 1098419 3095483 3295257 9286449 21668381 65005143 114532871 343598613 801730097 2405190291 13127943403 39383830209 91895603821 275686811463 485733905911 1457201717733 3400137341377 10200412024131