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10010001330 = 233579754601
BaseRepresentation
bin10010101001010010…
…00111111110110010
3221211121120202101000
421110221013332302
5131000030020310
64333141022430
7503025415230
oct112451077662
927747522330
1010010001330
11427742617a
121b343b4a16
13c36aac814
146ad607950
153d8bd64c0
hex254a47fb2

10010001330 has 128 divisors (see below), whose sum is σ = 30821736960. Its totient is φ = 2264371200.

The previous prime is 10010001271. The next prime is 10010001343. The reversal of 10010001330 is 3310001001.

It is a Harshad number since it is a multiple of its sum of digits (9).

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, 156030 + ... + 210630.

It is an arithmetic number, because the mean of its divisors is an integer number (240794820).

Almost surely, 210010001330 is an apocalyptic number.

10010001330 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 10010001330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15410868480).

10010001330 is an abundant number, since it is smaller than the sum of its proper divisors (20811735630).

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

10010001330 is a wasteful number, since it uses less digits than its factorization.

10010001330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54721 (or 54715 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 10010001330 its reverse (3310001001), we get a palindrome (13320002331).

The spelling of 10010001330 in words is "ten billion, ten million, one thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 97 105 126 135 189 194 210 270 291 315 378 485 582 630 679 873 945 970 1358 1455 1746 1890 2037 2619 2910 3395 4074 4365 5238 6111 6790 8730 10185 12222 13095 18333 20370 26190 30555 36666 54601 61110 91665 109202 163803 183330 273005 327606 382207 491409 546010 764414 819015 982818 1146621 1474227 1638030 1911035 2293242 2457045 2948454 3439863 3822070 4914090 5296297 5733105 6879726 7371135 10319589 10592594 11466210 14742270 15888891 17199315 20639178 26481485 31777782 34398630 37074079 47666673 51597945 52962970 74148158 79444455 95333346 103195890 111222237 143000019 158888910 185370395 222444474 238333365 286000038 333666711 370740790 476666730 556111185 667333422 715000095 1001000133 1112222370 1430000190 1668333555 2002000266 3336667110 5005000665 10010001330