Search a number
-
+
2031010010320 = 245415914477253
BaseRepresentation
bin11101100011100001101…
…000010101010011010000
321012011101120122121000211
4131203201220111103100
5231234002030312240
64153011053053504
7266510215146304
oct35434150252320
97164346577024
102031010010320
1171338a225595
12289759187294
131196a5c5cac5
14704310cdd04
1537c70613bea
hex1d8e1a154d0

2031010010320 has 160 divisors (see below), whose sum is σ = 4923337386240. Its totient is φ = 778509742080.

The previous prime is 2031010010299. The next prime is 2031010010329. The reversal of 2031010010320 is 230100101302.

It is a self number, because there is not a number n which added to its sum of digits gives 2031010010320.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2031010010329) 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, 280019814 + ... + 280027066.

It is an arithmetic number, because the mean of its divisors is an integer number (30770858664).

Almost surely, 22031010010320 is an apocalyptic number.

2031010010320 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 2031010010320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2461668693120).

2031010010320 is an abundant number, since it is smaller than the sum of its proper divisors (2892327375920).

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

2031010010320 is a wasteful number, since it uses less digits than its factorization.

2031010010320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8813 (or 8807 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 2031010010320 its reverse (230100101302), we get a palindrome (2261110111622).

The spelling of 2031010010320 in words is "two trillion, thirty-one billion, ten million, ten thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 41 59 80 82 118 164 205 236 295 328 410 472 590 656 820 944 1180 1447 1640 2360 2419 2894 3280 4720 4838 5788 7235 7253 9676 11576 12095 14470 14506 19352 23152 24190 28940 29012 36265 38704 48380 57880 58024 59327 72530 85373 96760 115760 116048 118654 145060 170746 193520 237308 290120 296635 297373 341492 426865 427927 474616 580240 593270 594746 682984 853730 855854 949232 1186540 1189492 1365968 1486865 1707460 1711708 2139635 2373080 2378984 2973730 3414920 3423416 3500293 4279270 4746160 4757968 5947460 6829840 6846832 7000586 8558540 10495091 11894920 14001172 17117080 17501465 17545007 20990182 23789840 28002344 34234160 35002930 35090014 41980364 52475455 56004688 70005860 70180028 83960728 87725035 104950910 140011720 140360056 167921456 175450070 209901820 280023440 280720112 350900140 419803640 430298731 619210369 701800280 839607280 860597462 1238420738 1403600560 1721194924 2151493655 2476841476 3096051845 3442389848 4302987310 4953682952 6192103690 6884779696 8605974620 9907365904 12384207380 17211949240 24768414760 25387625129 34423898480 49536829520 50775250258 101550500516 126938125645 203101001032 253876251290 406202002064 507752502580 1015505005160 2031010010320