Search a number
-
+
31275401000 = 2353891272767
BaseRepresentation
bin11101001000001010…
…001011111100101000
32222201122011222122012
4131020022023330220
51003023000313000
622211232215052
72155014344054
oct351012137450
988648158565
1031275401000
111229a16a748
12608a09a488
132c4569954c
1417299a4c64
15c30aaa735
hex74828bf28

31275401000 has 128 divisors (see below), whose sum is σ = 74616422400. Its totient is φ = 12267763200.

The previous prime is 31275400999. The next prime is 31275401009. The reversal of 31275401000 is 10457213.

It is not an unprimeable number, because it can be changed into a prime (31275401009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11301617 + ... + 11304383.

It is an arithmetic number, because the mean of its divisors is an integer number (582940800).

Almost surely, 231275401000 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 31275401000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37308211200).

31275401000 is an abundant number, since it is smaller than the sum of its proper divisors (43341021400).

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

31275401000 is a wasteful number, since it uses less digits than its factorization.

31275401000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3004 (or 2990 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 23.

Adding to 31275401000 its reverse (10457213), we get a palindrome (31285858213).

The spelling of 31275401000 in words is "thirty-one billion, two hundred seventy-five million, four hundred one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 89 100 125 127 178 200 250 254 356 445 500 508 635 712 890 1000 1016 1270 1780 2225 2540 2767 3175 3560 4450 5080 5534 6350 8900 11068 11125 11303 12700 13835 15875 17800 22136 22250 22606 25400 27670 31750 44500 45212 55340 56515 63500 69175 89000 90424 110680 113030 127000 138350 226060 246263 276700 282575 345875 351409 452120 492526 553400 565150 691750 702818 985052 1130300 1231315 1383500 1405636 1412875 1757045 1970104 2260600 2462630 2767000 2811272 2825750 3514090 4925260 5651500 6156575 7028180 8785225 9850520 11303000 12313150 14056360 17570450 24626300 30782875 31275401 35140900 43926125 49252600 61565750 62550802 70281800 87852250 123131500 125101604 156377005 175704500 246263000 250203208 312754010 351409000 625508020 781885025 1251016040 1563770050 3127540100 3909425125 6255080200 7818850250 15637700500 31275401000