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1123330010010 = 2351321131343613
BaseRepresentation
bin10000010110001011101…
…011111010101110011010
310222101111210121001221120
4100112023223322232122
5121401034440310020
62220014540350110
7144105110353305
oct20261353725632
93871453531846
101123330010010
113a34465618aa
12161860b45336
1381c11341920
143c525b3bb3c
151e348c4b740
hex1058bafab9a

1123330010010 has 128 divisors (see below), whose sum is σ = 2926523126016. Its totient is φ = 274315991040.

The previous prime is 1123330009979. The next prime is 1123330010021. The reversal of 1123330010010 is 100100333211.

It is a super-2 number, since 2×11233300100102 (a number of 25 digits) contains 22 as substring.

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

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, 25734964 + ... + 25778576.

It is an arithmetic number, because the mean of its divisors is an integer number (22863461922).

Almost surely, 21123330010010 is an apocalyptic number.

1123330010010 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 1123330010010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1463261563008).

1123330010010 is an abundant number, since it is smaller than the sum of its proper divisors (1803193116006).

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

1123330010010 is a wasteful number, since it uses less digits than its factorization.

1123330010010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44160.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 1123330010010 its reverse (100100333211), we get a palindrome (1223430343221).

The spelling of 1123330010010 in words is "one trillion, one hundred twenty-three billion, three hundred thirty million, ten thousand, ten".

Divisors: 1 2 3 5 6 10 13 15 26 30 39 65 78 130 195 211 313 390 422 626 633 939 1055 1266 1565 1878 2110 2743 3130 3165 4069 4695 5486 6330 8138 8229 9390 12207 13715 16458 20345 24414 27430 40690 41145 43613 61035 66043 82290 87226 122070 130839 132086 198129 218065 261678 330215 396258 436130 566969 654195 660430 858559 990645 1133938 1308390 1700907 1717118 1981290 2575677 2834845 3401814 4292795 5151354 5669690 8504535 8585590 9202343 12878385 13650869 17009070 18404686 25756770 27301738 27607029 40952607 46011715 55214058 68254345 81905214 92023430 119630459 136508690 138035145 177461297 204763035 239260918 276070290 354922594 358891377 409526070 532383891 598152295 717782754 887306485 1064767782 1196304590 1774612970 1794456885 2661919455 2880333359 3588913770 5323838910 5760666718 8641000077 14401666795 17282000154 28803333590 37444333667 43205000385 74888667334 86410000770 112333001001 187221668335 224666002002 374443336670 561665005005 1123330010010