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1101302321020 = 2251141761160441
BaseRepresentation
bin10000000001101010101…
…110111100111101111100
310220021122122121112022121
4100001222232330331330
5121020431343233040
62201533054452324
7142365204162556
oct20015256747574
93807578545277
101101302321020
113950724a4060
12159533b040a4
137cb10846825
143b4364304d6
151d9a9e9dc4a
hex1006abbcf7c

1101302321020 has 96 divisors (see below), whose sum is σ = 2587932027072. Its totient is φ = 390190080000.

The previous prime is 1101302321003. The next prime is 1101302321069. The reversal of 1101302321020 is 201232031011.

It is a super-3 number, since 3×11013023210203 (a number of 37 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1101302320985 and 1101302321003.

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, 6784000 + ... + 6944440.

It is an arithmetic number, because the mean of its divisors is an integer number (26957625282).

Almost surely, 21101302321020 is an apocalyptic number.

1101302321020 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 1101302321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1293966013536).

1101302321020 is an abundant number, since it is smaller than the sum of its proper divisors (1486629706052).

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

1101302321020 is a wasteful number, since it uses less digits than its factorization.

1101302321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 161263 (or 161261 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1101302321020 its reverse (201232031011), we get a palindrome (1302534352031).

The spelling of 1101302321020 in words is "one trillion, one hundred one billion, three hundred two million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 41 44 55 82 110 164 205 220 410 451 761 820 902 1522 1804 2255 3044 3805 4510 7610 8371 9020 15220 16742 31201 33484 41855 62402 83710 124804 156005 160441 167420 312010 320882 343211 624020 641764 686422 802205 1372844 1604410 1716055 1764851 3208820 3432110 3529702 6578081 6864220 7059404 8824255 13156162 17648510 26312324 32890405 35297020 65780810 72358891 122095601 131561620 144717782 244191202 289435564 361794455 488382404 610478005 723588910 1220956010 1343051611 1447177820 2441912020 2686103222 5005919641 5372206444 6715258055 10011839282 13430516110 20023678564 25029598205 26861032220 50059196410 55065116051 100118392820 110130232102 220260464204 275325580255 550651160510 1101302321020