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131220022030300 = 225273735914112563
BaseRepresentation
bin11101110101100000001010…
…110011001110111111011100
3122012121111210221200220220001
4131311200022303032333130
5114144402101114432200
61143025351304104044
736432222320644630
oct3565401263167734
9565544727626801
10131220022030300
11388a110a59aaa5
121287339ba65024
13582acc1c8c0a8
1424591238a4dc0
151028501e0276a
hex77580accefdc

131220022030300 has 144 divisors (see below), whose sum is σ = 335151943902720. Its totient is φ = 43651847773440.

The previous prime is 131220022030277. The next prime is 131220022030303. The reversal of 131220022030300 is 3030220022131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131220022030303) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2241819 + ... + 16354381.

It is an arithmetic number, because the mean of its divisors is an integer number (2327444054880).

Almost surely, 2131220022030300 is an apocalyptic number.

131220022030300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131220022030300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167575971951360).

131220022030300 is an abundant number, since it is smaller than the sum of its proper divisors (203931921872420).

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

131220022030300 is a wasteful number, since it uses less digits than its factorization.

131220022030300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14112980 (or 14112973 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 19.

Adding to 131220022030300 its reverse (3030220022131), we get a palindrome (134250242052431).

The spelling of 131220022030300 in words is "one hundred thirty-one trillion, two hundred twenty billion, twenty-two million, thirty thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 140 148 175 185 259 350 359 370 518 700 718 740 925 1036 1295 1436 1795 1850 2513 2590 3590 3700 5026 5180 6475 7180 8975 10052 12565 12950 13283 17950 25130 25900 26566 35900 50260 53132 62825 66415 92981 125650 132830 185962 251300 265660 332075 371924 464905 664150 929810 1328300 1859620 2324525 4649050 9298100 14112563 28225126 56450252 70562815 98787941 141125630 197575882 282251260 352814075 395151764 493939705 522164831 705628150 987879410 1044329662 1411256300 1975758820 2088659324 2469698525 2610824155 3655153817 4939397050 5066410117 5221648310 7310307634 9878794100 10132820234 10443296620 13054120775 14620615268 18275769085 20265640468 25332050585 26108241550 35464870819 36551538170 50664101170 52216483100 70929741638 73103076340 91378845425 101328202340 126660252925 141859483276 177324354095 182757690850 187457174329 253320505850 354648708190 365515381700 374914348658 506641011700 709297416380 749828697316 886621770475 937285871645 1312200220303 1773243540950 1874571743290 2624400440606 3546487081900 3749143486580 4686429358225 5248800881212 6561001101515 9372858716450 13122002203030 18745717432900 26244004406060 32805005507575 65610011015150 131220022030300