Search a number
-
+
1214453020300 = 2252138325314447
BaseRepresentation
bin10001101011000011000…
…010100111011010001100
311022002201022121121120121
4101223003002213122030
5124344144433122200
62325524554554324
7153512164230322
oct21530302473214
94262638547517
101214453020300
11429057084173
12177451a389a4
138a6a3a10220
1442acbc47d12
15218cd9a6e1a
hex11ac30a768c

1214453020300 has 144 divisors (see below), whose sum is σ = 2874058048512. Its totient is φ = 442736236800.

The previous prime is 1214453020271. The next prime is 1214453020301. The reversal of 1214453020300 is 30203544121.

It is a super-2 number, since 2×12144530203002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (1214453020301) 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, 273092677 + ... + 273097123.

It is an arithmetic number, because the mean of its divisors is an integer number (19958736448).

Almost surely, 21214453020300 is an apocalyptic number.

1214453020300 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 1214453020300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1437029024256).

1214453020300 is an abundant number, since it is smaller than the sum of its proper divisors (1659605028212).

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

1214453020300 is a wasteful number, since it uses less digits than its factorization.

1214453020300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7088 (or 7081 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 25.

Adding to 1214453020300 its reverse (30203544121), we get a palindrome (1244656564421).

The spelling of 1214453020300 in words is "one trillion, two hundred fourteen billion, four hundred fifty-three million, twenty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 83 100 130 166 260 325 332 415 650 830 1079 1300 1660 2075 2158 2531 4150 4316 4447 5062 5395 8300 8894 10124 10790 12655 17788 21580 22235 25310 26975 32903 44470 50620 53950 57811 63275 65806 88940 107900 111175 115622 126550 131612 164515 210073 222350 231244 253100 289055 329030 369101 420146 444700 578110 658060 738202 822575 840292 1050365 1156220 1445275 1476404 1645150 1845505 2100730 2730949 2890550 3290300 3691010 4201460 4798313 5251825 5461898 5781100 7382020 9227525 9596626 10503650 10923796 11255357 13654745 18455050 19193252 21007300 22510714 23991565 27309490 36910100 45021428 47983130 54618980 56276785 68273725 95966260 112553570 119957825 136547450 146319641 225107140 239915650 273094900 281383925 292639282 479831300 562767850 585278564 731598205 934194631 1125535700 1463196410 1868389262 2926392820 3657991025 3736778524 4670973155 7315982050 9341946310 12144530203 14631964100 18683892620 23354865775 24289060406 46709731550 48578120812 60722651015 93419463100 121445302030 242890604060 303613255075 607226510150 1214453020300