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2198131107380 = 2251347639177467
BaseRepresentation
bin11111111111001010110…
…100101110011000110100
321210010202112110221202022
4133333022310232120310
5242003233030414010
64401450230132312
7314544511062365
oct37771264563064
97703675427668
102198131107380
1177824978332a
122b60197b1098
1312c38a621a10
1478566683b6c
153c2a233ad55
hex1ffcad2e634

2198131107380 has 48 divisors (see below), whose sum is σ = 4971290405760. Its totient is φ = 811596029568.

The previous prime is 2198131107299. The next prime is 2198131107383. The reversal of 2198131107380 is 837011318912.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2198131107383) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12297407 + ... + 12474873.

It is an arithmetic number, because the mean of its divisors is an integer number (103568550120).

Almost surely, 22198131107380 is an apocalyptic number.

2198131107380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2198131107380 is an abundant number, since it is smaller than the sum of its proper divisors (2773159298380).

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

2198131107380 is a wasteful number, since it uses less digits than its factorization.

2198131107380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225128 (or 225126 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 44.

The spelling of 2198131107380 in words is "two trillion, one hundred ninety-eight billion, one hundred thirty-one million, one hundred seven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 47639 95278 177467 190556 238195 354934 476390 619307 709868 887335 952780 1238614 1774670 2307071 2477228 3096535 3549340 4614142 6193070 9228284 11535355 12386140 23070710 46141420 8454350413 16908700826 33817401652 42271752065 84543504130 109906555369 169087008260 219813110738 439626221476 549532776845 1099065553690 2198131107380