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30314410041102 = 23112373697739209
BaseRepresentation
bin1101110010010000111111…
…01001000101111100001110
310222100000210100122201110020
412321020133221011330032
512433132402432303402
6144250125301323010
76246100224552315
oct671103751057416
9128300710581406
1030314410041102
1197282a619a530
123497176706466
1313bb8377c57a5
1476b32222127c
153788325b48bc
hex1b921fa45f0e

30314410041102 has 128 divisors (see below), whose sum is σ = 69973445790720. Its totient is φ = 8664955453440.

The previous prime is 30314410041089. The next prime is 30314410041107. The reversal of 30314410041102 is 20114001441303.

It is a super-2 number, since 2×303144100411022 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30314410041107) 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, 773129674 + ... + 773168882.

It is an arithmetic number, because the mean of its divisors is an integer number (546667545240).

Almost surely, 230314410041102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30314410041102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34986722895360).

30314410041102 is an abundant number, since it is smaller than the sum of its proper divisors (39659035749618).

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

30314410041102 is a wasteful number, since it uses less digits than its factorization.

30314410041102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46298.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 30314410041102 its reverse (20114001441303), we get a palindrome (50428411482405).

The spelling of 30314410041102 in words is "thirty trillion, three hundred fourteen billion, four hundred ten million, forty-one thousand, one hundred two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 73 138 146 219 253 438 506 759 803 1518 1606 1679 2409 3358 4818 5037 6977 10074 13954 18469 20931 36938 39209 41862 55407 76747 78418 110814 117627 153494 160471 230241 235254 320942 431299 460482 481413 509321 862598 901807 962826 1018642 1293897 1527963 1765181 1803614 2587794 2705421 2862257 3055926 3530362 5295543 5410842 5602531 5724514 8586771 9919877 10591086 11205062 11714383 16807593 17173542 19839754 23428766 29759631 31484827 33615186 35143149 59519262 62969654 65831911 70286298 94454481 128858213 131663822 188908962 197495733 257716426 273561193 386574639 394991466 547122386 724151021 773149278 820683579 1448302042 1641367158 2172453063 3009173123 4344906126 6018346246 6291907439 9027519369 12583814878 18055038738 18875722317 19969967089 37751444634 39939934178 59909901267 69210981829 119819802534 138421963658 207632945487 219669637979 415265890974 439339275958 459309243047 659008913937 918618486094 1318017827874 1377927729141 2755855458282 5052401673517 10104803347034 15157205020551 30314410041102