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130420503252 = 223213454961261
BaseRepresentation
bin111100101110110101…
…0101111001011010100
3110110122020012000122100
41321131222233023110
54114100122101002
6135525300002100
712264640662234
oct1713552571324
9413566160570
10130420503252
1150346a79486
1221339690330
13c3b6044620
146453289cc4
1535d4c2711c
hex1e5daaf2d4

130420503252 has 72 divisors (see below), whose sum is σ = 355117435400. Its totient is φ = 40119909120.

The previous prime is 130420503251. The next prime is 130420503271. The reversal of 130420503252 is 252305024031.

It is a happy number.

130420503252 is a `hidden beast` number, since 130 + 4 + 2 + 0 + 503 + 25 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 3104272656 + 127316230596 = 55716^2 + 356814^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130420503251) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2098302 + ... + 2159562.

Almost surely, 2130420503252 is an apocalyptic number.

130420503252 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130420503252 is an abundant number, since it is smaller than the sum of its proper divisors (224696932148).

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

130420503252 is a wasteful number, since it uses less digits than its factorization.

130420503252 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65833 (or 65828 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 130420503252 its reverse (252305024031), we get a palindrome (382725527283).

The spelling of 130420503252 in words is "one hundred thirty billion, four hundred twenty million, five hundred three thousand, two hundred fifty-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 234 468 4549 9098 13647 18196 27294 40941 54588 59137 61261 81882 118274 122522 163764 177411 183783 236548 245044 354822 367566 532233 551349 709644 735132 796393 1064466 1102698 1592786 2128932 2205396 2389179 3185572 4778358 7167537 9556716 14335074 28670148 278676289 557352578 836028867 1114705156 1672057734 2508086601 3344115468 3622791757 5016173202 7245583514 10032346404 10868375271 14491167028 21736750542 32605125813 43473501084 65210251626 130420503252