Search a number
-
+
1101001020020 = 2251171136751563
BaseRepresentation
bin10000000001011000110…
…001100101001001110100
310220020212122122212001022
4100001120301211021310
5121014322230120040
62201443132520312
7142354555154156
oct20013061451164
93806778585038
101101001020020
11394a28411170
1215946b020098
137ca932b1805
143b4083dcad6
151d98d7d46b5
hex10058c65274

1101001020020 has 96 divisors (see below), whose sum is σ = 2559739262976. Its totient is φ = 394428675200.

The previous prime is 1101001020019. The next prime is 1101001020023. The reversal of 1101001020020 is 200201001011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1101001020023) 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, 21326759 + ... + 21378321.

It is an arithmetic number, because the mean of its divisors is an integer number (26663950656).

Almost surely, 21101001020020 is an apocalyptic number.

1101001020020 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 1101001020020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1279869631488).

1101001020020 is an abundant number, since it is smaller than the sum of its proper divisors (1458738242956).

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

1101001020020 is a wasteful number, since it uses less digits than its factorization.

1101001020020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53021 (or 53019 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 1101001020020 its reverse (200201001011), we get a palindrome (1301202021031).

The spelling of 1101001020020 in words is "one trillion, one hundred one billion, one million, twenty thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 71 110 142 220 284 355 710 781 1367 1420 1562 2734 3124 3905 5468 6835 7810 13670 15037 15620 27340 30074 51563 60148 75185 97057 103126 150370 194114 206252 257815 300740 388228 485285 515630 567193 970570 1031260 1067627 1134386 1941140 2135254 2268772 2835965 3660973 4270508 5338135 5671930 7321946 10676270 11343860 14643892 18304865 21352540 36609730 40270703 70486621 73219460 80541406 140973242 161082812 201353515 281946484 352433105 402707030 704866210 775352831 805414060 1409732420 1550705662 3101411324 3876764155 5004550091 7753528310 10009100182 15507056620 20018200364 25022750455 50045500910 55050051001 100091001820 110100102002 220200204004 275250255005 550500510010 1101001020020