Search a number
-
+
1120100000110 = 2571310941926951
BaseRepresentation
bin10000010011001011001…
…010011010000101101110
310222002011200202120100021
4100103023022122011232
5121322431100000420
62214322234152354
7143632056623650
oct20231312320556
93862150676307
101120100000110
113a2039281633
121610bb2826ba
13818180c6770
143c2dab806d0
151e20a3c17aa
hex104cb29a16e

1120100000110 has 128 divisors (see below), whose sum is σ = 2510287718400. Its totient is φ = 350389670400.

The previous prime is 1120100000093. The next prime is 1120100000137. The reversal of 1120100000110 is 110000010211.

It is a Harshad number since it is a multiple of its sum of digits (7).

It is a junction number, because it is equal to n+sod(n) for n = 1120100000093 and 1120100000102.

It is a congruent number.

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, 41547135 + ... + 41574085.

It is an arithmetic number, because the mean of its divisors is an integer number (19611622800).

Almost surely, 21120100000110 is an apocalyptic number.

1120100000110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1120100000110 is an abundant number, since it is smaller than the sum of its proper divisors (1390187718290).

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

1120100000110 is a wasteful number, since it uses less digits than its factorization.

1120100000110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27506.

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 1120100000110 its reverse (110000010211), we get a palindrome (1230100010321).

The spelling of 1120100000110 in words is "one trillion, one hundred twenty billion, one hundred million, one hundred ten", and thus it is an aban number.

Divisors: 1 2 5 7 10 13 14 26 35 65 70 91 109 130 182 218 419 455 545 763 838 910 1090 1417 1526 2095 2834 2933 3815 4190 5447 5866 7085 7630 9919 10894 14170 14665 19838 26951 27235 29330 38129 45671 49595 53902 54470 76258 91342 99190 134755 188657 190645 228355 269510 319697 350363 377314 381290 456710 593723 639394 700726 943285 1187446 1598485 1751815 1886570 2452541 2937659 2968615 3196970 3503630 4156061 4905082 5875318 5937230 8312122 11292469 12262705 14688295 20563613 20780305 22584938 24525410 29376590 38189567 41127226 41560610 56462345 76379134 79047283 102818065 112924690 146802097 158094566 190947835 205636130 267326969 293604194 381895670 395236415 534653938 734010485 790472830 1027614679 1230879121 1336634845 1468020970 2055229358 2461758242 2673269690 5138073395 6154395605 8616153847 10276146790 12308791210 16001428573 17232307694 32002857146 43080769235 80007142865 86161538470 112010000011 160014285730 224020000022 560050000055 1120100000110