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120300133133103 = 371123917419125093
BaseRepresentation
bin11011010110100110001110…
…101100111010101100101111
3120202221120200010012220222020
4123112212032230322230233
5111231444133040224403
61103505041311321223
734224253305546630
oct3326461654725457
9522846603186866
10120300133133103
1135370aaaa32370
12115aab7b220213
13521833ba00161
14219c7b3b49887
15dd9438861453
hex6d698eb3ab2f

120300133133103 has 64 divisors (see below), whose sum is σ = 200829310156800. Its totient is φ = 62228026143360.

The previous prime is 120300133133101. The next prime is 120300133133113. The reversal of 120300133133103 is 301331331003021.

It is not a de Polignac number, because 120300133133103 - 21 = 120300133133101 is a prime.

It is a super-2 number, since 2×1203001331331032 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (120300133133101) 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, 961623025 + ... + 961748117.

It is an arithmetic number, because the mean of its divisors is an integer number (3137957971200).

Almost surely, 2120300133133103 is an apocalyptic number.

120300133133103 is a deficient number, since it is larger than the sum of its proper divisors (80529177023697).

120300133133103 is a wasteful number, since it uses less digits than its factorization.

120300133133103 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142772.

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 120300133133103 its reverse (301331331003021), we get a palindrome (421631464136124).

The spelling of 120300133133103 in words is "one hundred twenty trillion, three hundred billion, one hundred thirty-three million, one hundred thirty-three thousand, one hundred three".

Divisors: 1 3 7 11 21 33 77 231 239 717 1673 2629 5019 7887 17419 18403 52257 55209 121933 125093 191609 365799 375279 574827 875651 1341263 1376023 2626953 4023789 4128069 4163141 9632161 12489423 28896483 29141987 29897227 45794551 87425961 89691681 137383653 209280589 320561857 328869497 627841767 961685571 986608491 2178994967 2302086479 6536984901 6906259437 15252964769 23968944637 45758894307 71906833911 167782612459 503347837377 520779797113 1562339391339 3645458579791 5728577768243 10936375739373 17185733304729 40100044377701 120300133133103