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1301011020 = 22325173711491
BaseRepresentation
bin100110110001011…
…1101101001001100
310100200002012121100
41031202331221030
510131024323040
6333033103100
744145261021
oct11542755114
93320065540
101301011020
11608428921
12303857a90
1317970020a
14c4b05548
157933eb30
hex4d8bda4c

1301011020 has 144 divisors (see below), whose sum is σ = 4291848288. Its totient is φ = 317675520.

The previous prime is 1301011001. The next prime is 1301011067. The reversal of 1301011020 is 201101031.

1301011020 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×13010110202 = 3385259348322880800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 1301010993 and 1301011011.

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, 107475 + ... + 118965.

It is an arithmetic number, because the mean of its divisors is an integer number (29804502).

Almost surely, 21301011020 is an apocalyptic number.

1301011020 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 1301011020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2145924144).

1301011020 is an abundant number, since it is smaller than the sum of its proper divisors (2990837268).

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

1301011020 is a wasteful number, since it uses less digits than its factorization.

1301011020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11560 (or 11555 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 1301011020 is about 36069.5303545804. The cubic root of 1301011020 is about 1091.6757379611.

Adding to 1301011020 its reverse (201101031), we get a palindrome (1502112051).

The spelling of 1301011020 in words is "one billion, three hundred one million, eleven thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 17 18 20 30 34 36 37 45 51 60 68 74 85 90 102 111 148 153 170 180 185 204 222 255 306 333 340 370 444 510 555 612 629 666 740 765 1020 1110 1258 1332 1530 1665 1887 2220 2516 3060 3145 3330 3774 5661 6290 6660 7548 9435 11322 11491 12580 18870 22644 22982 28305 34473 37740 45964 56610 57455 68946 103419 113220 114910 137892 172365 195347 206838 229820 344730 390694 413676 425167 517095 586041 689460 781388 850334 976735 1034190 1172082 1275501 1700668 1758123 1953470 2068380 2125835 2344164 2551002 2930205 3516246 3826503 3906940 4251670 5102004 5860410 6377505 7032492 7227839 7653006 8503340 8790615 11720820 12755010 14455678 15306012 17581230 19132515 21683517 25510020 28911356 35162460 36139195 38265030 43367034 65050551 72278390 76530060 86734068 108417585 130101102 144556780 216835170 260202204 325252755 433670340 650505510 1301011020