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1132000100 = 22527111131301
BaseRepresentation
bin100001101111000…
…1111001101100100
32220220001120012122
41003132033031210
54304243000400
6304154405112
740023561560
oct10336171544
92826046178
101132000100
11530a91480
12277130798
131506a615a
14aa4ac6a0
15695a7685
hex4378f364

1132000100 has 144 divisors (see below), whose sum is σ = 3092052096. Its totient is φ = 349440000.

The previous prime is 1132000099. The next prime is 1132000109. The reversal of 1132000100 is 10002311.

It is not an unprimeable number, because it can be changed into a prime (1132000109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 869450 + ... + 870750.

It is an arithmetic number, because the mean of its divisors is an integer number (21472584).

Almost surely, 21132000100 is an apocalyptic number.

1132000100 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 1132000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546026048).

1132000100 is an abundant number, since it is smaller than the sum of its proper divisors (1960051996).

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

1132000100 is a wasteful number, since it uses less digits than its factorization.

1132000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 8.

The square root of 1132000100 is about 33645.2091686172. The cubic root of 1132000100 is about 1042.1946075465.

Adding to 1132000100 its reverse (10002311), we get a palindrome (1142002411).

The spelling of 1132000100 in words is "one billion, one hundred thirty-two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 7 10 11 14 20 22 25 28 35 44 50 55 70 77 100 110 113 140 154 175 220 226 275 308 350 385 452 550 565 700 770 791 1100 1130 1243 1301 1540 1582 1925 2260 2486 2602 2825 3164 3850 3955 4972 5204 5650 6215 6505 7700 7910 8701 9107 11300 12430 13010 14311 15820 17402 18214 19775 24860 26020 28622 31075 32525 34804 36428 39550 43505 45535 57244 62150 65050 71555 79100 87010 91070 100177 124300 130100 143110 147013 174020 182140 200354 217525 227675 286220 294026 357775 400708 435050 455350 500885 588052 715550 735065 870100 910700 1001770 1029091 1431100 1470130 1617143 2003540 2058182 2504425 2940260 3234286 3675325 4116364 5008850 5145455 6468572 7350650 8085715 10017700 10290910 11320001 14701300 16171430 20581820 22640002 25727275 32342860 40428575 45280004 51454550 56600005 80857150 102909100 113200010 161714300 226400020 283000025 566000050 1132000100