Search a number
-
+
231554057100 = 2235223104931991
BaseRepresentation
bin1101011110100110110…
…0101000001110001100
3211010200101210212102220
43113221230220032030
512243210314311400
6254212515015340
722505061003402
oct3275154501614
9733611725386
10231554057100
118a224257343
1238a62b9a550
1318ab2652492
14b2c8aa1472
1560537247a0
hex35e9b2838c

231554057100 has 144 divisors (see below), whose sum is σ = 699780211200. Its totient is φ = 59004915200.

The previous prime is 231554057087. The next prime is 231554057107. The reversal of 231554057100 is 1750455132.

231554057100 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (231554057107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7222105 + ... + 7254095.

It is an arithmetic number, because the mean of its divisors is an integer number (4859584800).

Almost surely, 2231554057100 is an apocalyptic number.

231554057100 is a gapful number since it is divisible by the number (20) 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 231554057100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (349890105600).

231554057100 is an abundant number, since it is smaller than the sum of its proper divisors (468226154100).

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

231554057100 is a wasteful number, since it uses less digits than its factorization.

231554057100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33080 (or 33073 counting only the distinct ones).

The product of its (nonzero) digits is 21000, while the sum is 33.

The spelling of 231554057100 in words is "two hundred thirty-one billion, five hundred fifty-four million, fifty-seven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1049 1150 1380 1725 2098 2300 3147 3450 4196 5245 6294 6900 10490 12588 15735 20980 24127 26225 31470 31991 48254 52450 62940 63982 72381 78675 95973 96508 104900 120635 127964 144762 157350 159955 191946 241270 289524 314700 319910 361905 383892 479865 482540 603175 639820 723810 735793 799775 959730 1206350 1447620 1471586 1599550 1809525 1919460 2207379 2399325 2412700 2943172 3199100 3619050 3678965 4414758 4798650 7238100 7357930 8829516 9597300 11036895 14715860 18394825 22073790 33558559 36789650 44147580 55184475 67117118 73579300 100675677 110368950 134234236 167792795 201351354 220737900 335585590 402702708 503378385 671171180 771846857 838963975 1006756770 1543693714 1677927950 2013513540 2315540571 2516891925 3087387428 3355855900 3859234285 4631081142 5033783850 7718468570 9262162284 10067567700 11577702855 15436937140 19296171425 23155405710 38592342850 46310811420 57888514275 77184685700 115777028550 231554057100