Search a number
-
+
31130101122000 = 2435310947599543
BaseRepresentation
bin1110001010000000010101…
…00111101000001111010000
311002020000020021022221220020
413011000022213220033100
513040013421341401000
6150112545424143440
76362034632420016
oct705001247501720
9132200207287806
1031130101122000
119a12224583581
1235a927ba67b80
13144a72c5269ca
147989c24a28b6
1538eb731caba0
hex1c500a9e83d0

31130101122000 has 160 divisors (see below), whose sum is σ = 101284213704960. Its totient is φ = 8225200857600.

The previous prime is 31130101121969. The next prime is 31130101122007. The reversal of 31130101122000 is 22110103113.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31130101122007) 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, 23145772 + ... + 24453771.

It is an arithmetic number, because the mean of its divisors is an integer number (633026335656).

Almost surely, 231130101122000 is an apocalyptic number.

31130101122000 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31130101122000 is an abundant number, since it is smaller than the sum of its proper divisors (70154112582960).

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

31130101122000 is a wasteful number, since it uses less digits than its factorization.

31130101122000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47599678 (or 47599662 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 31130101122000 its reverse (22110103113), we get a palindrome (31152211225113).

The spelling of 31130101122000 in words is "thirty-one trillion, one hundred thirty billion, one hundred one million, one hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 109 120 125 150 200 218 240 250 300 327 375 400 436 500 545 600 654 750 872 1000 1090 1200 1308 1500 1635 1744 2000 2180 2616 2725 3000 3270 4360 5232 5450 6000 6540 8175 8720 10900 13080 13625 16350 21800 26160 27250 32700 40875 43600 54500 65400 81750 109000 130800 163500 218000 327000 654000 47599543 95199086 142798629 190398172 237997715 285597258 380796344 475995430 571194516 713993145 761592688 951990860 1142389032 1189988575 1427986290 1903981720 2284778064 2379977150 2855972580 3569965725 3807963440 4759954300 5188350187 5711945160 5949942875 7139931450 9519908600 10376700374 11423890320 11899885750 14279862900 15565050561 17849828625 19039817200 20753400748 23799771500 25941750935 28559725800 31130101122 35699657250 41506801496 47599543000 51883501870 57119451600 62260202244 71399314500 77825252805 83013602992 95199086000 103767003740 124520404488 129708754675 142798629000 155650505610 207534007480 249040808976 259417509350 285597258000 311301011220 389126264025 415068014960 518835018700 622602022440 648543773375 778252528050 1037670037400 1245204044880 1297087546750 1556505056100 1945631320125 2075340074800 2594175093500 3113010112200 3891262640250 5188350187000 6226020224400 7782525280500 10376700374000 15565050561000 31130101122000