Search a number
-
+
1014302552100 = 2235221173921683
BaseRepresentation
bin11101100001010010010…
…01001011000000100100
310120222002111012100111220
432300221021023000210
5113104242423131400
62053544131500340
7133165235303445
oct16605111130044
93528074170456
101014302552100
11361188390a92
121446b3a576b0
137485748a016
1437141b992cc
151b5b720e7a0
hexec2924b024

1014302552100 has 144 divisors (see below), whose sum is σ = 2952750178560. Its totient is φ = 268822108800.

The previous prime is 1014302552099. The next prime is 1014302552101. The reversal of 1014302552100 is 12552034101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1014302552099) and next prime (1014302552101).

It is not an unprimeable number, because it can be changed into a prime (1014302552101) 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, 46767859 + ... + 46789541.

Almost surely, 21014302552100 is an apocalyptic number.

1014302552100 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 1014302552100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1476375089280).

1014302552100 is an abundant number, since it is smaller than the sum of its proper divisors (1938447626460).

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

1014302552100 is a wasteful number, since it uses less digits than its factorization.

1014302552100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22650 (or 22643 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

Adding to 1014302552100 its reverse (12552034101), we get a palindrome (1026854586201).

The spelling of 1014302552100 in words is "one trillion, fourteen billion, three hundred two million, five hundred fifty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 211 300 422 633 739 844 1055 1266 1478 2110 2217 2532 2956 3165 3695 4220 4434 5275 6330 7390 8868 10550 11085 12660 14780 15825 18475 21100 21683 22170 31650 36950 43366 44340 55425 63300 65049 73900 86732 108415 110850 130098 155929 216830 221700 260196 311858 325245 433660 467787 542075 623716 650490 779645 935574 1084150 1300980 1559290 1626225 1871148 2168300 2338935 3118580 3252450 3898225 4575113 4677870 6504900 7796450 9150226 9355740 11694675 13725339 15592900 16023737 18300452 22875565 23389350 27450678 32047474 45751130 46778700 48071211 54901356 64094948 68626695 80118685 91502260 96142422 114377825 137253390 160237370 192284844 228755650 240356055 274506780 320474740 343133475 400593425 457511300 480712110 686266950 801186850 961424220 1201780275 1372533900 1602373700 2403560550 3381008507 4807121100 6762017014 10143025521 13524034028 16905042535 20286051042 33810085070 40572102084 50715127605 67620170140 84525212675 101430255210 169050425350 202860510420 253575638025 338100850700 507151276050 1014302552100