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31042133430 = 23571152125793
BaseRepresentation
bin11100111010010000…
…010101110110110110
32222010101020202200120
4130322100111312312
51002033241232210
622132140352410
72146152531510
oct347220256666
988111222616
1031042133430
111218a525330
126023b45706
132c09264bb9
141706a02bb0
15c1a37e270
hex73a415db6

31042133430 has 128 divisors (see below), whose sum is σ = 93066402816. Its totient is φ = 6437683200.

The previous prime is 31042133417. The next prime is 31042133431. The reversal of 31042133430 is 3433124013.

It is a super-2 number, since 2×310421334302 (a number of 22 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 31042133430.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31042133431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1190614 + ... + 1216406.

It is an arithmetic number, because the mean of its divisors is an integer number (727081272).

Almost surely, 231042133430 is an apocalyptic number.

31042133430 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31042133430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46533201408).

31042133430 is an abundant number, since it is smaller than the sum of its proper divisors (62024269386).

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

31042133430 is a wasteful number, since it uses less digits than its factorization.

31042133430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26342.

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 31042133430 its reverse (3433124013), we get a palindrome (34475257443).

The spelling of 31042133430 in words is "thirty-one billion, forty-two million, one hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 521 770 1042 1155 1563 2310 2605 3126 3647 5210 5731 7294 7815 10941 11462 15630 17193 18235 21882 25793 28655 34386 36470 40117 51586 54705 57310 77379 80234 85965 109410 120351 128965 154758 171930 180551 200585 240702 257930 283723 361102 386895 401170 541653 567446 601755 773790 851169 902755 1083306 1203510 1418615 1702338 1805510 1986061 2708265 2837230 3972122 4255845 5416530 5958183 8511690 9930305 11916366 13438153 19860610 26876306 29790915 40314459 59581830 67190765 80628918 94067071 134381530 147819683 188134142 201572295 282201213 295639366 403144590 443459049 470335355 564402426 739098415 886918098 940670710 1034737781 1411006065 1478196830 2069475562 2217295245 2822012130 3104213343 4434590490 5173688905 6208426686 10347377810 15521066715 31042133430