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131010411400400 = 24527271172654733
BaseRepresentation
bin11101110010011100111101…
…000010001000110011010000
3122011212110202211022122122002
4131302130331002020303100
5114132433310304303100
61142345204020533132
736411122060665520
oct3562347502106320
9564773684278562
10131010411400400
113882022688a364
121283a8418511a8
1358142c884187c
14244cd1b259680
151022d34d842d5
hex77273d088cd0

131010411400400 has 120 divisors (see below), whose sum is σ = 361044529837824. Its totient is φ = 44752106534400.

The previous prime is 131010411400373. The next prime is 131010411400433. The reversal of 131010411400400 is 4004114010131.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 85568567 + ... + 87086166.

Almost surely, 2131010411400400 is an apocalyptic number.

131010411400400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131010411400400 is an abundant number, since it is smaller than the sum of its proper divisors (230034118437424).

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

131010411400400 is a wasteful number, since it uses less digits than its factorization.

131010411400400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172655029 (or 172655018 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 131010411400400 its reverse (4004114010131), we get a palindrome (135014525410531).

The spelling of 131010411400400 in words is "one hundred thirty-one trillion, ten billion, four hundred eleven million, four hundred thousand, four hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 35 40 50 56 70 80 100 112 140 175 200 271 280 350 400 542 560 700 1084 1355 1400 1897 2168 2710 2800 3794 4336 5420 6775 7588 9485 10840 13550 15176 18970 21680 27100 30352 37940 47425 54200 75880 94850 108400 151760 189700 379400 758800 172654733 345309466 690618932 863273665 1208583131 1381237864 1726547330 2417166262 2762475728 3453094660 4316368325 4834332524 6042915655 6906189320 8632736650 9668665048 12085831310 13812378640 17265473300 19337330096 24171662620 30214578275 34530946600 46789432643 48343325240 60429156550 69061893200 93578865286 96686650480 120858313100 187157730572 233947163215 241716626200 327526028501 374315461144 467894326430 483433252400 655052057002 748630922288 935788652860 1169735816075 1310104114004 1637630142505 1871577305720 2339471632150 2620208228008 3275260285010 3743154611440 4678943264300 5240416456016 6550520570020 8188150712525 9357886528600 13101041140040 16376301425050 18715773057200 26202082280080 32752602850100 65505205700200 131010411400400