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145025006100 = 2235213112333113
BaseRepresentation
bin1000011100010000101…
…0011111101000010100
3111212100001010122020020
42013010022133220110
54334002400143400
6150342405105140
713322566132602
oct2070412375024
9455301118206
10145025006100
1156560920647
12241346b81b0
13108a29677a0
14703ab5c872
153b8be672a0
hex21c429fa14

145025006100 has 144 divisors (see below), whose sum is σ = 452299092672. Its totient is φ = 35665597440.

The previous prime is 145025006089. The next prime is 145025006101. The reversal of 145025006100 is 1600520541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145025006101) 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, 4363144 + ... + 4396256.

Almost surely, 2145025006100 is an apocalyptic number.

145025006100 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 145025006100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226149546336).

145025006100 is an abundant number, since it is smaller than the sum of its proper divisors (307274086572).

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

145025006100 is a wasteful number, since it uses less digits than its factorization.

145025006100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34266 (or 34259 counting only the distinct ones).

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

Adding to 145025006100 its reverse (1600520541), we get a palindrome (146625526641).

The spelling of 145025006100 in words is "one hundred forty-five billion, twenty-five million, six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1123 1300 1950 2246 3369 3900 4492 5615 6738 11230 13476 14599 16845 22460 28075 29198 33113 33690 43797 56150 58396 66226 67380 72995 84225 87594 99339 112300 132452 145990 165565 168450 175188 198678 218985 291980 331130 336900 364975 397356 430469 437970 496695 662260 729950 827825 860938 875940 993390 1094925 1291407 1459900 1655650 1721876 1986780 2152345 2189850 2483475 2582814 3311300 4304690 4379700 4966950 5165628 6457035 8609380 9933900 10761725 12914070 21523450 25828140 32285175 37185899 43046900 64570350 74371798 111557697 129140700 148743596 185929495 223115394 371858990 446230788 483416687 557788485 743717980 929647475 966833374 1115576970 1450250061 1859294950 1933666748 2231153940 2417083435 2788942425 2900500122 3718589900 4834166870 5577884850 5801000244 7251250305 9668333740 11155769700 12085417175 14502500610 24170834350 29005001220 36256251525 48341668700 72512503050 145025006100