Search a number
-
+
1011000100210 = 2517194725725913
BaseRepresentation
bin11101011011001000100…
…11010100010101110010
310120122120100001102011221
432231210103110111302
5113031012011201320
62052240320455254
7133020345030022
oct16554423242562
93518510042157
101011000100210
1135a843222001
12143b31a7a52a
137444c229989
1436d0b341a82
151b4723253aa
hexeb644d4572

1011000100210 has 128 divisors (see below), whose sum is σ = 2079554964480. Its totient is φ = 351520948224.

The previous prime is 1011000100141. The next prime is 1011000100213. The reversal of 1011000100210 is 120010001101.

1011000100210 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1011000100193 and 1011000100202.

It is not an unprimeable number, because it can be changed into a prime (1011000100213) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39002214 + ... + 39028126.

It is an arithmetic number, because the mean of its divisors is an integer number (16246523160).

Almost surely, 21011000100210 is an apocalyptic number.

1011000100210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1011000100210 is an abundant number, since it is smaller than the sum of its proper divisors (1068554864270).

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

1011000100210 is a wasteful number, since it uses less digits than its factorization.

1011000100210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26260.

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

Adding to 1011000100210 its reverse (120010001101), we get a palindrome (1131010101311).

The spelling of 1011000100210 in words is "one trillion, eleven billion, one hundred thousand, two hundred ten".

Divisors: 1 2 5 10 17 19 34 38 47 85 94 95 170 190 235 257 323 470 514 646 799 893 1285 1598 1615 1786 2570 3230 3995 4369 4465 4883 7990 8738 8930 9766 12079 15181 21845 24158 24415 25913 30362 43690 48830 51826 60395 75905 83011 120790 129565 151810 166022 205343 229501 259130 410686 415055 440521 459002 492347 830110 881042 984694 1026715 1147505 1217911 2053430 2202605 2295010 2435822 2461735 3901517 4405210 4923470 6089555 6659641 7803034 8369899 12179110 13319282 16739798 19507585 20704487 23140309 33298205 39015170 41408974 41849495 46280618 66596410 83698990 103522435 113213897 115701545 126533179 207044870 226427794 231403090 253066358 313003127 393385253 566069485 626006254 632665895 786770506 1132138970 1265331790 1565015635 1966926265 2151064043 3130031270 3933852530 4302128086 5321053159 5947059413 10642106318 10755320215 11894118826 21510640430 26605265795 29735297065 53210531590 59470594130 101100010021 202200020042 505500050105 1011000100210