Search a number
-
+
1025351131020 = 223543953417023
BaseRepresentation
bin11101110101110111011…
…00001001111110001100
310122000121111001022111120
432322323230021332030
5113244404342143040
62103012333120540
7134036104545006
oct16727354117614
93560544038446
101025351131020
11365937a89947
12146878029150
13758c8492c98
14378ad2b3376
151ba121977d0
hexeebbb09f8c

1025351131020 has 96 divisors (see below), whose sum is σ = 2940839903232. Its totient is φ = 266787322368.

The previous prime is 1025351131009. The next prime is 1025351131033. The reversal of 1025351131020 is 201311535201.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2250229 + ... + 2667251.

It is an arithmetic number, because the mean of its divisors is an integer number (30633748992).

Almost surely, 21025351131020 is an apocalyptic number.

1025351131020 is a gapful number since it is divisible by the number (10) 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 1025351131020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1470419951616).

1025351131020 is an abundant number, since it is smaller than the sum of its proper divisors (1915488772212).

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

1025351131020 is a wasteful number, since it uses less digits than its factorization.

1025351131020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418031 (or 418029 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 24.

Adding to 1025351131020 its reverse (201311535201), we get a palindrome (1226662666221).

The spelling of 1025351131020 in words is "one trillion, twenty-five billion, three hundred fifty-one million, one hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 516 645 860 953 1290 1906 2580 2859 3812 4765 5718 9530 11436 14295 19060 28590 40979 57180 81958 122937 163916 204895 245874 409790 417023 491748 614685 819580 834046 1229370 1251069 1668092 2085115 2458740 2502138 4170230 5004276 6255345 8340460 12510690 17931989 25021380 35863978 53795967 71727956 89659945 107591934 179319890 215183868 268979835 358639780 397422919 537959670 794845838 1075919340 1192268757 1589691676 1987114595 2384537514 3974229190 4769075028 5961343785 7948458380 11922687570 17089185517 23845375140 34178371034 51267556551 68356742068 85445927585 102535113102 170891855170 205070226204 256337782755 341783710340 512675565510 1025351131020