Search a number
-
+
10132100140120 = 235725169438847
BaseRepresentation
bin1001001101110001000000…
…1110101100110001011000
31022212121201110221200002121
42103130100032230301120
52312001020113440440
633314342245311024
72064006613121200
oct223342016546130
938777643850077
1010132100140120
113256aaa427542
121177803a05474
135865b71698ca
142705794bd400
1512885c34a34a
hex937103acc58

10132100140120 has 48 divisors (see below), whose sum is σ = 26519221290240. Its totient is φ = 3473862904512.

The previous prime is 10132100140009. The next prime is 10132100140133. The reversal of 10132100140120 is 2104100123101.

It is a super-2 number, since 2×101321001401202 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10132100140094 and 10132100140103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2584717464 + ... + 2584721383.

It is an arithmetic number, because the mean of its divisors is an integer number (552483776880).

Almost surely, 210132100140120 is an apocalyptic number.

10132100140120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10132100140120 is an abundant number, since it is smaller than the sum of its proper divisors (16387121150120).

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

10132100140120 is a wasteful number, since it uses less digits than its factorization.

10132100140120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5169438872 (or 5169438861 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 10132100140120 its reverse (2104100123101), we get a palindrome (12236200263221).

The spelling of 10132100140120 in words is "ten trillion, one hundred thirty-two billion, one hundred million, one hundred forty thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 392 490 980 1960 5169438847 10338877694 20677755388 25847194235 36186071929 41355510776 51694388470 72372143858 103388776940 144744287716 180930359645 206777553880 253302503503 289488575432 361860719290 506605007006 723721438580 1013210014012 1266512517515 1447442877160 2026420028024 2533025035030 5066050070060 10132100140120