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131210330001000 = 23353153128567457
BaseRepresentation
bin11101110101010111001001…
…000111000100111001101000
3122012120120210111102211010220
4131311113021013010321220
5114144222223440013000
61143021105442210040
736431430203030505
oct3565271107047150
9565516714384126
10131210330001000
1138897a96703a28
1212871536053920
13582a109030703
1424588845cc4ac
1510281360ca1a0
hex7755c91c4e68

131210330001000 has 128 divisors (see below), whose sum is σ = 409643635340160. Its totient is φ = 34966566144000.

The previous prime is 131210330000987. The next prime is 131210330001001. The reversal of 131210330001000 is 100033012131.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is not an unprimeable number, because it can be changed into a prime (131210330001001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9690729 + ... + 18876728.

It is an arithmetic number, because the mean of its divisors is an integer number (3200340901095).

Almost surely, 2131210330001000 is an apocalyptic number.

131210330001000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131210330001000 is an abundant number, since it is smaller than the sum of its proper divisors (278433305339160).

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

131210330001000 is a wasteful number, since it uses less digits than its factorization.

131210330001000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28569012 (or 28568998 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 131210330001000 its reverse (100033012131), we get a palindrome (131310363013131).

The spelling of 131210330001000 in words is "one hundred thirty-one trillion, two hundred ten billion, three hundred thirty million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 1531 3000 3062 4593 6124 7655 9186 12248 15310 18372 22965 30620 36744 38275 45930 61240 76550 91860 114825 153100 183720 191375 229650 306200 382750 459300 574125 765500 918600 1148250 1531000 2296500 4593000 28567457 57134914 85702371 114269828 142837285 171404742 228539656 285674570 342809484 428511855 571349140 685618968 714186425 857023710 1142698280 1428372850 1714047420 2142559275 2856745700 3428094840 3570932125 4285118550 5713491400 7141864250 8570237100 10712796375 14283728500 17140474200 21425592750 28567457000 42851185500 43736776667 85702371000 87473553334 131210330001 174947106668 218683883335 262420660002 349894213336 437367766670 524841320004 656051650005 874735533340 1049682640008 1093419416675 1312103300010 1749471066680 2186838833350 2624206600020 3280258250025 4373677666700 5248413200040 5467097083375 6560516500050 8747355333400 10934194166750 13121033000100 16401291250125 21868388333500 26242066000200 32802582500250 43736776667000 65605165000500 131210330001000