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41131431030 = 23571831971181
BaseRepresentation
bin100110010011100111…
…111101010001110110
310221011112001012002110
4212103213331101312
51133214121243110
630521233151450
72654163252354
oct462347752166
9127145035073
1041131431030
1116497690a08
127b7a9bb586
133b565b9691
141dc296c7d4
15110aecaa20
hex9939fd476

41131431030 has 128 divisors (see below), whose sum is σ = 101912380416. Its totient is φ = 10620377600.

The previous prime is 41131431023. The next prime is 41131431037. The reversal of 41131431030 is 3013413114.

It is an interprime number because it is at equal distance from previous prime (41131431023) and next prime (41131431037).

It is a junction number, because it is equal to n+sod(n) for n = 41131430988 and 41131431006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (41131431037) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 34827040 + ... + 34828220.

It is an arithmetic number, because the mean of its divisors is an integer number (796190472).

Almost surely, 241131431030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 41131431030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50956190208).

41131431030 is an abundant number, since it is smaller than the sum of its proper divisors (60780949386).

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

41131431030 is a wasteful number, since it uses less digits than its factorization.

41131431030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1542.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 41131431030 its reverse (3013413114), we get a palindrome (44144844144).

The spelling of 41131431030 in words is "forty-one billion, one hundred thirty-one million, four hundred thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 71 83 142 166 197 213 249 355 394 415 426 498 591 710 830 985 1065 1181 1182 1245 1970 2130 2362 2490 2955 3543 5893 5905 5910 7086 11786 11810 13987 16351 17679 17715 27974 29465 32702 35358 35430 41961 49053 58930 69935 81755 83851 83922 88395 98023 98106 139870 163510 167702 176790 196046 209805 232657 245265 251553 294069 419255 419610 465314 490115 490530 503106 588138 697971 838510 980230 1160921 1163285 1257765 1395942 1470345 2321842 2326570 2515530 2940690 3482763 3489855 5804605 6959633 6965526 6979710 11609210 13919266 16518647 17413815 19310531 20878899 33037294 34798165 34827630 38621062 41757798 49555941 57931593 69596330 82593235 96552655 99111882 104394495 115863186 165186470 193105310 208788990 247779705 289657965 495559410 579315930 1371047701 2742095402 4113143103 6855238505 8226286206 13710477010 20565715515 41131431030