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1150214100 = 2235274211301
BaseRepresentation
bin100010010001110…
…1101111111010100
32222011022221010020
41010203231333110
54323423322400
6310045025140
740334441610
oct10443557724
92864287106
101150214100
115402a1972
122812551b0
131543b2679
14aca90340
156aea42a0
hex448edfd4

1150214100 has 144 divisors (see below), whose sum is σ = 3815339136. Its totient is φ = 262080000.

The previous prime is 1150214099. The next prime is 1150214113. The reversal of 1150214100 is 14120511.

1150214100 = T104 + T105 + ... + T1903.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1150214100.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 883450 + ... + 884750.

Almost surely, 21150214100 is an apocalyptic number.

1150214100 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 1150214100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1907669568).

1150214100 is an abundant number, since it is smaller than the sum of its proper divisors (2665125036).

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

1150214100 is a wasteful number, since it uses less digits than its factorization.

1150214100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1746 (or 1739 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

The square root of 1150214100 is about 33914.8065009960. The cubic root of 1150214100 is about 1047.7545666251.

Adding to 1150214100 its reverse (14120511), we get a palindrome (1164334611).

The spelling of 1150214100 in words is "one billion, one hundred fifty million, two hundred fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 421 525 700 842 1050 1263 1301 1684 2100 2105 2526 2602 2947 3903 4210 5052 5204 5894 6315 6505 7806 8420 8841 9107 10525 11788 12630 13010 14735 15612 17682 18214 19515 21050 25260 26020 27321 29470 31575 32525 35364 36428 39030 42100 44205 45535 54642 58940 63150 65050 73675 78060 88410 91070 97575 109284 126300 130100 136605 147350 176820 182140 195150 221025 227675 273210 294700 390300 442050 455350 546420 547721 683025 884100 910700 1095442 1366050 1643163 2190884 2732100 2738605 3286326 3834047 5477210 6572652 7668094 8215815 10954420 11502141 13693025 15336188 16431630 19170235 23004282 27386050 32863260 38340470 41079075 46008564 54772100 57510705 76680940 82158150 95851175 115021410 164316300 191702350 230042820 287553525 383404700 575107050 1150214100