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5131532120 = 23511134121881
BaseRepresentation
bin1001100011101110…
…01111011101011000
3111020121212211201012
410301313033131120
541002133011440
62205110313052
7241110206021
oct46167173530
914217784635
105131532120
1121a3686040
12bb2658788
1363a192850
1436973dc48
15200788e65
hex131dcf758

5131532120 has 128 divisors (see below), whose sum is σ = 13895945280. Its totient is φ = 1680384000.

The previous prime is 5131532113. The next prime is 5131532167. The reversal of 5131532120 is 212351315.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 223580 + ... + 245460.

Almost surely, 25131532120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5131532120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6947972640).

5131532120 is an abundant number, since it is smaller than the sum of its proper divisors (8764413160).

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

5131532120 is a wasteful number, since it uses less digits than its factorization.

5131532120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21957 (or 21953 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 23.

The square root of 5131532120 is about 71634.7130935833. The cubic root of 5131532120 is about 1724.8408025036.

Adding to 5131532120 its reverse (212351315), we get a palindrome (5343883435).

The spelling of 5131532120 in words is "five billion, one hundred thirty-one million, five hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 13 20 22 26 40 41 44 52 55 65 82 88 104 110 130 143 164 205 220 260 286 328 410 440 451 520 533 572 715 820 902 1066 1144 1430 1640 1804 2132 2255 2665 2860 3608 4264 4510 5330 5720 5863 9020 10660 11726 18040 21320 21881 23452 29315 43762 46904 58630 87524 109405 117260 175048 218810 234520 240691 284453 437620 481382 568906 875240 897121 962764 1137812 1203455 1422265 1794242 1925528 2275624 2406910 2844530 3128983 3588484 4485605 4813820 5689060 6257966 7176968 8971210 9627640 9868331 11378120 11662573 12515932 15644915 17942420 19736662 23325146 25031864 31289830 35884840 39473324 46650292 49341655 58312865 62579660 78946648 93300584 98683310 116625730 125159320 128288303 197366620 233251460 256576606 394733240 466502920 513153212 641441515 1026306424 1282883030 2565766060 5131532120