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10101302430 = 2354143331577
BaseRepresentation
bin10010110100001010…
…11010010010011110
3222001222101022221020
421122011122102132
5131141413134210
64350201545010
7505214440212
oct113205322236
928058338836
1010101302430
114313a1602a
121b5aaa5166
13c4c998a3b
146bb7b2942
153e1c1d770
hex25a15a49e

10101302430 has 128 divisors (see below), whose sum is σ = 25532914176. Its totient is φ = 2554675200.

The previous prime is 10101302429. The next prime is 10101302461. The reversal of 10101302430 is 3420310101.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 17506302 + ... + 17506878.

It is an arithmetic number, because the mean of its divisors is an integer number (199475892).

Almost surely, 210101302430 is an apocalyptic number.

10101302430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10101302430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12766457088).

10101302430 is an abundant number, since it is smaller than the sum of its proper divisors (15431611746).

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

10101302430 is a wasteful number, since it uses less digits than its factorization.

10101302430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1002.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10101302430 its reverse (3420310101), we get a palindrome (13521612531).

The spelling of 10101302430 in words is "ten billion, one hundred one million, three hundred two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 41 43 82 86 123 129 205 215 246 258 331 410 430 577 615 645 662 993 1154 1230 1290 1655 1731 1763 1986 2885 3310 3462 3526 4965 5289 5770 8655 8815 9930 10578 13571 14233 17310 17630 23657 24811 26445 27142 28466 40713 42699 47314 49622 52890 67855 70971 71165 74433 81426 85398 118285 124055 135710 141942 142330 148866 190987 203565 213495 236570 248110 354855 372165 381974 407130 426990 572961 583553 709710 744330 954935 1017251 1145922 1167106 1750659 1909870 2034502 2864805 2917765 3051753 3501318 5086255 5729610 5835530 6103506 7830467 8212441 8753295 10172510 15258765 15660934 16424882 17506590 23491401 24637323 30517530 39152335 41062205 46982802 49274646 78304670 82124410 117457005 123186615 234914010 246373230 336710081 673420162 1010130243 1683550405 2020260486 3367100810 5050651215 10101302430