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1303321021020 = 22325371075318199
BaseRepresentation
bin10010111101110011111…
…111001000101001011100
311121121002200102210121200
4102331303333020221130
5132323200140133040
62434423140355500
7163106336614404
oct22756377105134
94547080383550
101303321021020
1146280a814467
121907136a5b90
1395b97159835
144711c677804
1523d8077b630
hex12f73fc8a5c

1303321021020 has 144 divisors (see below), whose sum is σ = 4060856654400. Its totient is φ = 338108940288.

The previous prime is 1303321021003. The next prime is 1303321021043. The reversal of 1303321021020 is 201201233031.

1303321021020 is a `hidden beast` number, since 1 + 303 + 321 + 0 + 21 + 0 + 20 = 666.

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 = 1303321020984 and 1303321021002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 71605881 + ... + 71624079.

Almost surely, 21303321021020 is an apocalyptic number.

1303321021020 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 1303321021020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030428327200).

1303321021020 is an abundant number, since it is smaller than the sum of its proper divisors (2757535633380).

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

1303321021020 is a wasteful number, since it uses less digits than its factorization.

1303321021020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29004 (or 28999 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 1303321021020 its reverse (201201233031), we get a palindrome (1504522254051).

The spelling of 1303321021020 in words is "one trillion, three hundred three billion, three hundred twenty-one million, twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 6660 10753 18199 21506 32259 36398 43012 53765 54597 64518 72796 90995 96777 107530 109194 129036 161295 163791 181990 193554 215060 218388 272985 322590 327582 363980 387108 397861 483885 545970 645180 655164 673363 795722 818955 967770 1091940 1193583 1346726 1591444 1637910 1935540 1989305 2020089 2387166 2693452 3275820 3366815 3580749 3978610 4040178 4774332 5967915 6060267 6733630 7161498 7957220 8080356 10100445 11935830 12120534 13467260 14322996 17903745 20200890 23871660 24241068 30301335 35807490 40401780 60602670 71614980 121205340 195693847 391387694 587081541 782775388 978469235 1174163082 1761244623 1956938470 2348326164 2935407705 3522489246 3913876940 5870815410 7044978492 7240672339 8806223115 11741630820 14481344678 17612446230 21722017017 28962689356 35224892460 36203361695 43444034034 65166051051 72406723390 86888068068 108610085085 130332102102 144813446780 217220170170 260664204204 325830255255 434440340340 651660510510 1303321021020