Search a number
-
+
1303032101020 = 2251353831139273
BaseRepresentation
bin10010111101100010110…
…000111111100010011100
311121120100112210010212221
4102331202300333202130
5132322102204213040
62434334340035124
7163066231053136
oct22754260774234
94546315703787
101303032101020
11462681718601
12190652992aa4
1395b4c33b060
14470d214a056
1523d6520a74a
hex12f62c3f89c

1303032101020 has 96 divisors (see below), whose sum is σ = 3038635156032. Its totient is φ = 466354157568.

The previous prime is 1303032101017. The next prime is 1303032101051. The reversal of 1303032101020 is 201012303031.

It is a junction number, because it is equal to n+sod(n) for n = 1303032100985 and 1303032101003.

It is a congruent number.

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, 574104 + ... + 1713376.

It is an arithmetic number, because the mean of its divisors is an integer number (31652449542).

Almost surely, 21303032101020 is an apocalyptic number.

1303032101020 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 1303032101020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1519317578016).

1303032101020 is an abundant number, since it is smaller than the sum of its proper divisors (1735603055012).

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

1303032101020 is a wasteful number, since it uses less digits than its factorization.

1303032101020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1139431 (or 1139429 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1303032101020 its reverse (201012303031), we get a palindrome (1504044404051).

The spelling of 1303032101020 in words is "one trillion, three hundred three billion, thirty-two million, one hundred one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 53 65 83 106 130 166 212 260 265 332 415 530 689 830 1060 1079 1378 1660 2158 2756 3445 4316 4399 5395 6890 8798 10790 13780 17596 21580 21995 43990 57187 87980 114374 228748 285935 571870 1139273 1143740 2278546 4557092 5696365 11392730 14810549 22785460 29621098 59242196 60381469 74052745 94559659 120762938 148105490 189119318 241525876 296210980 301907345 378238636 472798295 603814690 784959097 945596590 1207629380 1229275567 1569918194 1891193180 2458551134 3139836388 3924795485 4917102268 5011661927 6146377835 7849590970 10023323854 12292755670 15699181940 20046647708 24585511340 25058309635 50116619270 65151605051 100233238540 130303210102 260606420204 325758025255 651516050510 1303032101020