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1101130223232 = 273131489148139
BaseRepresentation
bin10000000001100000011…
…110011100111010000000
310220021012122210001112110
4100001200132130322000
5121020103314120412
62201504030055320
7142361014316004
oct20014036347200
93807178701473
101101130223232
11394a94339486
121594a634a540
137cab3cab710
143b41b632704
151d999d06d3c
hex1006079ce80

1101130223232 has 128 divisors (see below), whose sum is σ = 3152004408000. Its totient is φ = 338579472384.

The previous prime is 1101130223197. The next prime is 1101130223267. The reversal of 1101130223232 is 2323220311011.

It is an interprime number because it is at equal distance from previous prime (1101130223197) and next prime (1101130223267).

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1101130223199 and 1101130223208.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7359019 + ... + 7507157.

Almost surely, 21101130223232 is an apocalyptic number.

1101130223232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101130223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576002204000).

1101130223232 is an abundant number, since it is smaller than the sum of its proper divisors (2050874184768).

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

1101130223232 is a wasteful number, since it uses less digits than its factorization.

1101130223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 149658 (or 149646 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 1101130223232 its reverse (2323220311011), we get a palindrome (3424350534243).

The spelling of 1101130223232 in words is "one trillion, one hundred one billion, one hundred thirty million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 156 192 208 312 384 416 624 832 1248 1489 1664 2496 2978 4467 4992 5956 8934 11912 17868 19357 23824 35736 38714 47648 58071 71472 77428 95296 116142 142944 148139 154856 190592 232284 285888 296278 309712 444417 464568 571776 592556 619424 888834 929136 1185112 1238848 1777668 1858272 1925807 2370224 2477696 3555336 3716544 3851614 4740448 5777421 7110672 7433088 7703228 9480896 11554842 14221344 15406456 18961792 23109684 28442688 30812912 46219368 56885376 61625824 92438736 123251648 184877472 220578971 246503296 369754944 441157942 661736913 739509888 882315884 1323473826 1764631768 2646947652 2867526623 3529263536 5293895304 5735053246 7058527072 8602579869 10587790608 11470106492 14117054144 17205159738 21175581216 22940212984 28234108288 34410319476 42351162432 45880425968 68820638952 84702324864 91760851936 137641277904 183521703872 275282555808 367043407744 550565111616 1101130223232