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11342303010 = 2325373539649
BaseRepresentation
bin10101001000000110…
…11100111100100010
31002021110112200200200
422210003130330202
5141212112144020
65113252530030
7551033661543
oct124403347442
932243480620
1011342303010
1148a0486145
122246620916
1310b9b172cc
147985364ca
15465b57590
hex2a40dcf22

11342303010 has 96 divisors (see below), whose sum is σ = 30375961200. Its totient is φ = 2934226944.

The previous prime is 11342302991. The next prime is 11342303029. The reversal of 11342303010 is 1030324311.

11342303010 is a `hidden beast` number, since 1 + 134 + 230 + 301 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11342302991) and next prime (11342303029).

It can be written as a sum of positive squares in 8 ways, for example, as 4357188081 + 6985114929 = 66009^2 + 83577^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1170666 + ... + 1180314.

Almost surely, 211342303010 is an apocalyptic number.

11342303010 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 11342303010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15187980600).

11342303010 is an abundant number, since it is smaller than the sum of its proper divisors (19033658190).

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

11342303010 is a wasteful number, since it uses less digits than its factorization.

11342303010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10052 (or 10049 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 11342303010 its reverse (1030324311), we get a palindrome (12372627321).

The spelling of 11342303010 in words is "eleven billion, three hundred forty-two million, three hundred three thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 185 222 333 353 370 555 666 706 1059 1110 1665 1765 2118 3177 3330 3530 5295 6354 9649 10590 13061 15885 19298 26122 28947 31770 39183 48245 57894 65305 78366 86841 96490 117549 130610 144735 173682 195915 235098 289470 357013 391830 434205 587745 714026 868410 1071039 1175490 1785065 2142078 3213117 3406097 3570130 5355195 6426234 6812194 10218291 10710390 16065585 17030485 20436582 30654873 32131170 34060970 51091455 61309746 102182910 126025589 153274365 252051178 306548730 378076767 630127945 756153534 1134230301 1260255890 1890383835 2268460602 3780767670 5671151505 11342303010