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131011212302300 = 225211332053358681
BaseRepresentation
bin11101110010011101101100…
…110001010101011111011100
3122011212112211122100200111102
4131302131230301111133130
5114132441430322133200
61142345415311012232
736411150654356501
oct3562355461253734
9564775748320442
10131011212302300
11388205a7986860
121283aa25b0a078
1358143c574c115
14244cd9577b4a8
151022d803386d5
hex77276cc557dc

131011212302300 has 72 divisors (see below), whose sum is σ = 310141068524112. Its totient is φ = 47640164544000.

The previous prime is 131011212302297. The next prime is 131011212302303. The reversal of 131011212302300 is 3203212110131.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (131011212302297) and next prime (131011212302303).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131011212302303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 365078960 + ... + 365437640.

Almost surely, 2131011212302300 is an apocalyptic number.

131011212302300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131011212302300 is an abundant number, since it is smaller than the sum of its proper divisors (179129856221812).

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

131011212302300 is a wasteful number, since it uses less digits than its factorization.

131011212302300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 690759 (or 690752 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 131011212302300 its reverse (3203212110131), we get a palindrome (134214424412431).

The spelling of 131011212302300 in words is "one hundred thirty-one trillion, eleven billion, two hundred twelve million, three hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 332053 358681 664106 717362 1328212 1434724 1660265 1793405 3320530 3586810 3652583 3945491 6641060 7173620 7305166 7890982 8301325 8967025 14610332 15781964 16602650 17934050 18262915 19727455 33205300 35868100 36525830 39454910 73051660 78909820 91314575 98637275 182629150 197274550 365258300 394549100 119101102093 238202204186 476404408372 595505510465 1191011020930 1310112123023 2382022041860 2620224246046 2977527552325 5240448492092 5955055104650 6550560615115 11910110209300 13101121230230 26202242460460 32752803075575 65505606151150 131011212302300