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3130231200 = 253523142073
BaseRepresentation
bin1011101010010011…
…1000100110100000
322002011002012221220
42322210320212200
522402314344300
61234335415040
7140366345325
oct27244704640
98064065856
103130231200
111366a30038
12734384480
133ab681315
14219a26b4c
15134c1ada0
hexba9389a0

3130231200 has 144 divisors (see below), whose sum is σ = 10517826816. Its totient is φ = 807782400.

The previous prime is 3130231189. The next prime is 3130231229. The reversal of 3130231200 is 21320313.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 3130231200.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53364 + ... + 95436.

It is an arithmetic number, because the mean of its divisors is an integer number (73040464).

Almost surely, 23130231200 is an apocalyptic number.

3130231200 is a gapful number since it is divisible by the number (30) 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 3130231200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5258913408).

3130231200 is an abundant number, since it is smaller than the sum of its proper divisors (7387595616).

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

3130231200 is a wasteful number, since it uses less digits than its factorization.

3130231200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42127 (or 42114 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

The square root of 3130231200 is about 55948.4691479579. The cubic root of 3130231200 is about 1462.8242074727.

Adding to 3130231200 its reverse (21320313), we get a palindrome (3151551513).

The spelling of 3130231200 in words is "three billion, one hundred thirty million, two hundred thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 75 80 93 96 100 120 124 150 155 160 186 200 240 248 300 310 372 400 465 480 496 600 620 744 775 800 930 992 1200 1240 1488 1550 1860 2325 2400 2480 2976 3100 3720 4650 4960 6200 7440 9300 12400 14880 18600 24800 37200 42073 74400 84146 126219 168292 210365 252438 336584 420730 504876 631095 673168 841460 1009752 1051825 1262190 1304263 1346336 1682920 2019504 2103650 2524380 2608526 3155475 3365840 3912789 4039008 4207300 5048760 5217052 6310950 6521315 6731680 7825578 8414600 10097520 10434104 12621900 13042630 15651156 16829200 19563945 20195040 20868208 25243800 26085260 31302312 32606575 33658400 39127890 41736416 50487600 52170520 62604624 65213150 78255780 97819725 100975200 104341040 125209248 130426300 156511560 195639450 208682080 260852600 313023120 391278900 521705200 626046240 782557800 1043410400 1565115600 3130231200