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1201131520 = 2125223263
BaseRepresentation
bin100011110010111…
…1101000000000000
310002201010210200121
41013211331000000
54424442202040
6315104230024
741523310111
oct10745750000
93081123617
101201131520
11567009986
1229630b314
13161acc514
14b5746208
15706b0c4a
hex4797d000

1201131520 has 104 divisors (see below), whose sum is σ = 2906297856. Its totient is φ = 476479488.

The previous prime is 1201131517. The next prime is 1201131539. The reversal of 1201131520 is 251311021.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1201131494 and 1201131503.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4566909 + ... + 4567171.

Almost surely, 21201131520 is an apocalyptic number.

1201131520 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 1201131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1453148928).

1201131520 is an abundant number, since it is smaller than the sum of its proper divisors (1705166336).

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

1201131520 is an equidigital number, since it uses as much as digits as its factorization.

1201131520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 515 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 16.

The square root of 1201131520 is about 34657.3443875898. The cubic root of 1201131520 is about 1062.9924696516.

Adding to 1201131520 its reverse (251311021), we get a palindrome (1452442541).

The spelling of 1201131520 in words is "one billion, two hundred one million, one hundred thirty-one thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 223 256 263 320 446 512 526 640 892 1024 1052 1115 1280 1315 1784 2048 2104 2230 2560 2630 3568 4096 4208 4460 5120 5260 7136 8416 8920 10240 10520 14272 16832 17840 20480 21040 28544 33664 35680 42080 57088 58649 67328 71360 84160 114176 117298 134656 142720 168320 228352 234596 269312 285440 293245 336640 456704 469192 538624 570880 586490 673280 913408 938384 1077248 1141760 1172980 1346560 1876768 2283520 2345960 2693120 3753536 4567040 4691920 5386240 7507072 9383840 15014144 18767680 30028288 37535360 60056576 75070720 120113152 150141440 240226304 300282880 600565760 1201131520