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120300120032131 = 131923371372941687
BaseRepresentation
bin11011010110100110001101…
…111010111100001110000011
3120202221120122012120022211001
4123112212031322330032003
5111231444121212012011
61103505040122432431
734224253056313444
oct3326461572741603
9522846565508731
10120300120032131
1135370aa35a4416
12115aab76962717
135218339093cc0
14219c7b20d92cb
15dd94376247c1
hex6d698debc383

120300120032131 has 64 divisors (see below), whose sum is σ = 146161996646400. Its totient is φ = 97898587877376.

The previous prime is 120300120032123. The next prime is 120300120032179. The reversal of 120300120032131 is 131230021003021.

It is not a de Polignac number, because 120300120032131 - 23 = 120300120032123 is a prime.

It is a super-2 number, since 2×1203001200321312 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a junction number, because it is equal to n+sod(n) for n = 120300120032099 and 120300120032108.

It is not an unprimeable number, because it can be changed into a prime (120300120032101) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2885773770 + ... + 2885815456.

It is an arithmetic number, because the mean of its divisors is an integer number (2283781197600).

Almost surely, 2120300120032131 is an apocalyptic number.

120300120032131 is a deficient number, since it is larger than the sum of its proper divisors (25861876614269).

120300120032131 is a wasteful number, since it uses less digits than its factorization.

120300120032131 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55508.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 120300120032131 its reverse (131230021003021), we get a palindrome (251530141035152).

The spelling of 120300120032131 in words is "one hundred twenty trillion, three hundred billion, one hundred twenty million, thirty-two thousand, one hundred thirty-one".

Divisors: 1 13 19 23 37 247 299 437 481 703 851 5681 9139 11063 13729 16169 41687 178477 210197 260851 315767 507973 541931 792053 958801 1542419 3391063 4104971 5999573 6603649 9651487 10296689 11683379 12464413 18217219 20051447 29305961 35475637 77994449 125469331 151883927 221984201 236823847 380977493 461183281 572320823 674037103 2885794613 7440170699 8762482339 10874095637 13163378929 21175870451 141363243281 171123926077 250104199651 275286315863 402341538569 487045020373 3251354595463 5230440001397 6331585264849 9253855387087 120300120032131