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1013211232020 = 2232513750757679
BaseRepresentation
bin11101011111010000001…
…10000111011100010100
310120212021102200112210200
432233220012013130110
5113100024033411040
62053243545020500
7133126214241321
oct16575006073424
93525242615720
101013211232020
11360778365069
1214444a484730
13747123580b0
143707ac79b48
151b5514e0630
hexebe8187714

1013211232020 has 144 divisors (see below), whose sum is σ = 3310321647360. Its totient is φ = 249368295168.

The previous prime is 1013211231973. The next prime is 1013211232027. The reversal of 1013211232020 is 202321123101.

1013211232020 is a `hidden beast` number, since 1 + 0 + 1 + 321 + 1 + 2 + 320 + 20 = 666.

1013211232020 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1013211231984 and 1013211232002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1013211232027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17537541 + ... + 17595219.

Almost surely, 21013211232020 is an apocalyptic number.

1013211232020 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 1013211232020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1655160823680).

1013211232020 is an abundant number, since it is smaller than the sum of its proper divisors (2297110415340).

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

1013211232020 is a wasteful number, since it uses less digits than its factorization.

1013211232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 65214 (or 65209 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 1013211232020 its reverse (202321123101), we get a palindrome (1215532355121).

The spelling of 1013211232020 in words is "one trillion, thirteen billion, two hundred eleven million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 60 65 78 90 117 130 156 180 195 234 260 390 468 585 780 1170 2340 7507 15014 22521 30028 37535 45042 57679 67563 75070 90084 97591 112605 115358 135126 150140 173037 195182 225210 230716 270252 288395 292773 337815 346074 390364 450420 487955 519111 576790 585546 675630 692148 749827 865185 878319 975910 1038222 1153580 1171092 1351260 1463865 1499654 1730370 1756638 1951820 2076444 2249481 2595555 2927730 2999308 3460740 3513276 3749135 4391595 4498962 5191110 5855460 6748443 7498270 8783190 8997924 10382220 11247405 13496886 14996540 17566380 22494810 26993772 33742215 44989620 67484430 134968860 432996253 865992506 1298988759 1731985012 2164981265 2597977518 3896966277 4329962530 5195955036 5628951289 6494943795 7793932554 8659925060 11257902578 12989887590 15587865108 16886853867 19484831385 22515805156 25979775180 28144756445 33773707734 38969662770 50660561601 56289512890 67547415468 77939325540 84434269335 101321123202 112579025780 168868538670 202642246404 253302808005 337737077340 506605616010 1013211232020