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13100131000 = 2353111319091
BaseRepresentation
bin11000011001101010…
…00010001010111000
31020210222012121101001
430030311002022320
5203312113143000
610003525134344
7642430163515
oct141465021270
936728177331
1013100131000
115612756350
12265725a3b4
13130a060008
148c3b9230c
1551a13046a
hex30cd422b8

13100131000 has 128 divisors (see below), whose sum is σ = 33700043520. Its totient is φ = 4726800000.

The previous prime is 13100130913. The next prime is 13100131061. The reversal of 13100131000 is 13100131.

It is a super-2 number, since 2×131001310002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1436455 + ... + 1445545.

It is an arithmetic number, because the mean of its divisors is an integer number (263281590).

Almost surely, 213100131000 is an apocalyptic number.

13100131000 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 13100131000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16850021760).

13100131000 is an abundant number, since it is smaller than the sum of its proper divisors (20599912520).

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

13100131000 is a wasteful number, since it uses less digits than its factorization.

13100131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9254 (or 9240 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 10.

Adding to 13100131000 its reverse (13100131), we get a palindrome (13113231131).

13100131000 divided by its reverse (13100131) gives a cube (1000 = 103).

The spelling of 13100131000 in words is "thirteen billion, one hundred million, one hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 131 200 220 250 262 275 440 500 524 550 655 1000 1048 1100 1310 1375 1441 2200 2620 2750 2882 3275 5240 5500 5764 6550 7205 9091 11000 11528 13100 14410 16375 18182 26200 28820 32750 36025 36364 45455 57640 65500 72050 72728 90910 100001 131000 144100 180125 181820 200002 227275 288200 360250 363640 400004 454550 500005 720500 800008 909100 1000010 1136375 1190921 1441000 1818200 2000020 2272750 2381842 2500025 4000040 4545500 4763684 5000050 5954605 9091000 9527368 10000100 11909210 12500125 13100131 20000200 23818420 25000250 26200262 29773025 47636840 50000500 52400524 59546050 65500655 100001000 104801048 119092100 131001310 148865125 238184200 262002620 297730250 327503275 524005240 595460500 655006550 1190921000 1310013100 1637516375 2620026200 3275032750 6550065500 13100131000