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3101141430 = 2335191394349
BaseRepresentation
bin1011100011010111…
…1010100110110110
322000010100022022000
42320311322212312
522322343011210
61231420120130
7136564160442
oct27065724666
98003308260
103101141430
111351571502
12726696046
133a563773a
14215c13822
151323c1ac0
hexb8d7a9b6

3101141430 has 128 divisors (see below), whose sum is σ = 8769600000. Its totient is φ = 777631104.

The previous prime is 3101141423. The next prime is 3101141437. The reversal of 3101141430 is 341411013.

It is an interprime number because it is at equal distance from previous prime (3101141423) and next prime (3101141437).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3101141437) 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, 710896 + ... + 715244.

It is an arithmetic number, because the mean of its divisors is an integer number (68512500).

Almost surely, 23101141430 is an apocalyptic number.

3101141430 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 3101141430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4384800000).

3101141430 is an abundant number, since it is smaller than the sum of its proper divisors (5668458570).

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

3101141430 is a wasteful number, since it uses less digits than its factorization.

3101141430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4523 (or 4517 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 3101141430 is about 55687.8930289161. The cubic root of 3101141430 is about 1458.2786728755.

Adding to 3101141430 its reverse (341411013), we get a palindrome (3442552443).

The spelling of 3101141430 in words is "three billion, one hundred one million, one hundred forty-one thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 90 95 114 135 139 171 190 270 278 285 342 417 513 570 695 834 855 1026 1251 1390 1710 2085 2502 2565 2641 3753 4170 4349 5130 5282 6255 7506 7923 8698 12510 13047 13205 15846 18765 21745 23769 26094 26410 37530 39141 39615 43490 47538 65235 71307 78282 79230 82631 117423 118845 130470 142614 165262 195705 234846 237690 247893 356535 391410 413155 495786 587115 604511 713070 743679 826310 1174230 1209022 1239465 1487358 1813533 2231037 2478930 3022555 3627066 3718395 4462074 5440599 6045110 7436790 9067665 10881198 11155185 11485709 16321797 18135330 22310370 22971418 27202995 32643594 34457127 54405990 57428545 68914254 81608985 103371381 114857090 163217970 172285635 206742762 310114143 344571270 516856905 620228286 1033713810 1550570715 3101141430