Search a number
-
+
11002103120 = 2451312933583
BaseRepresentation
bin10100011111100011…
…01100010101010000
31001101202101202011202
422033301230111100
5140013014244440
65015421130332
7536433222251
oct121761542520
931352352152
1011002103120
114736444a08
1221706b99a8
1310644b29b8
1476529ab28
15445d57615
hex28fc6c550

11002103120 has 80 divisors (see below), whose sum is σ = 25870344192. Its totient is φ = 4351127040.

The previous prime is 11002103117. The next prime is 11002103137. The reversal of 11002103120 is 2130120011.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×110021031202 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 3068849 + ... + 3072431.

Almost surely, 211002103120 is an apocalyptic number.

11002103120 is a gapful number since it is divisible by the number (10) 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 11002103120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12935172096).

11002103120 is an abundant number, since it is smaller than the sum of its proper divisors (14868241072).

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

11002103120 is a wasteful number, since it uses less digits than its factorization.

11002103120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4020 (or 4014 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 11002103120 its reverse (2130120011), we get a palindrome (13132223131).

The spelling of 11002103120 in words is "eleven billion, two million, one hundred three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 131 262 293 524 586 655 1048 1172 1310 1465 2096 2344 2620 2930 3583 4688 5240 5860 7166 10480 11720 14332 17915 23440 28664 35830 38383 57328 71660 76766 143320 153532 191915 286640 307064 383830 469373 614128 767660 938746 1049819 1535320 1877492 2099638 2346865 3070640 3754984 4199276 4693730 5249095 7509968 8398552 9387460 10498190 16797104 18774920 20996380 37549840 41992760 83985520 137526289 275052578 550105156 687631445 1100210312 1375262890 2200420624 2750525780 5501051560 11002103120