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2031134340340 = 2257113225157037
BaseRepresentation
bin11101100011101001000…
…010100111010011110100
321012011201020121012202101
4131203221002213103310
5231234230342342330
64153031253551444
7266513255013430
oct35435102472364
97164636535671
102031134340340
11713443424576
12289792945584
131196c5941871
14704438159c0
1537c7b4c24ca
hex1d8e90a74f4

2031134340340 has 96 divisors (see below), whose sum is σ = 4920132559104. Its totient is φ = 689907456000.

The previous prime is 2031134340337. The next prime is 2031134340343. The reversal of 2031134340340 is 430434311302.

It is an interprime number because it is at equal distance from previous prime (2031134340337) and next prime (2031134340343).

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 2031134340299 and 2031134340308.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031134340343) 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, 35582302 + ... + 35639338.

It is an arithmetic number, because the mean of its divisors is an integer number (51251380824).

Almost surely, 22031134340340 is an apocalyptic number.

2031134340340 is a gapful number since it is divisible by the number (20) 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 2031134340340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2460066279552).

2031134340340 is an abundant number, since it is smaller than the sum of its proper divisors (2888998218764).

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

2031134340340 is a wasteful number, since it uses less digits than its factorization.

2031134340340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59417 (or 59415 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 28.

Adding to 2031134340340 its reverse (430434311302), we get a palindrome (2461568651642).

The spelling of 2031134340340 in words is "two trillion, thirty-one billion, one hundred thirty-four million, three hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 113 140 226 452 565 791 1130 1582 2251 2260 3164 3955 4502 7910 9004 11255 15757 15820 22510 31514 45020 57037 63028 78785 114074 157570 228148 254363 285185 315140 399259 508726 570370 798518 1017452 1140740 1271815 1597036 1780541 1996295 2543630 3561082 3992590 5087260 6445181 7122164 7985180 8902705 12890362 17805410 25780724 32225905 35610820 45116267 64451810 90232534 128390287 128903620 180465068 225581335 256780574 451162670 513561148 641951435 898732009 902325340 1283902870 1797464018 2567805740 3594928036 4493660045 8987320090 14508102431 17974640180 29016204862 58032409724 72540512155 101556717017 145081024310 203113434034 290162048620 406226868068 507783585085 1015567170170 2031134340340