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10300011330 = 23573110315361
BaseRepresentation
bin10011001011110110…
…11011001101000010
3222120211021210022010
421211323123031002
5132043300330310
64422020553350
7513146436360
oct114573331502
928524253263
1010300011330
1144060a6a64
121bb5552856
13c81bc047b
146d9d3a630
154043c0320
hex265edb342

10300011330 has 128 divisors (see below), whose sum is σ = 29447847936. Its totient is φ = 2256076800.

The previous prime is 10300011311. The next prime is 10300011341. The reversal of 10300011330 is 3311000301.

10300011330 is a modest number, since divided by 11330 gives 10300 as remainder.

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, 662850 + ... + 678210.

It is an arithmetic number, because the mean of its divisors is an integer number (230061312).

Almost surely, 210300011330 is an apocalyptic number.

10300011330 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 10300011330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14723923968).

10300011330 is an abundant number, since it is smaller than the sum of its proper divisors (19147836606).

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

10300011330 is a wasteful number, since it uses less digits than its factorization.

10300011330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15512.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 10300011330 its reverse (3311000301), we get a palindrome (13611011631).

The spelling of 10300011330 in words is "ten billion, three hundred million, eleven thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 31 35 42 62 70 93 103 105 155 186 206 210 217 309 310 434 465 515 618 651 721 930 1030 1085 1302 1442 1545 2163 2170 3090 3193 3255 3605 4326 6386 6510 7210 9579 10815 15361 15965 19158 21630 22351 30722 31930 44702 46083 47895 67053 76805 92166 95790 107527 111755 134106 153610 215054 223510 230415 322581 335265 460830 476191 537635 645162 670530 952382 1075270 1428573 1582183 1612905 2380955 2857146 3164366 3225810 3333337 4746549 4761910 6666674 7142865 7910915 9493098 10000011 11075281 14285730 15821830 16666685 20000022 22150562 23732745 33225843 33333370 47465490 49047673 50000055 55376405 66451686 98095346 100000110 110752810 147143019 166129215 245238365 294286038 332258430 343333711 490476730 686667422 735715095 1030001133 1471430190 1716668555 2060002266 3433337110 5150005665 10300011330