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1300101120 = 21132514107
BaseRepresentation
bin100110101111101…
…1111100000000000
310100121100222110100
41031133133200000
510130311213440
6333001402400
744134451163
oct11537374000
93317328410
101300101120
1160796723a
12303499400
13179472006
14c4949ada
1579210230
hex4d7df800

1300101120 has 144 divisors (see below), whose sum is σ = 4506236280. Its totient is φ = 346669056.

The previous prime is 1300101109. The next prime is 1300101133. The reversal of 1300101120 is 211010031.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 85107 + ... + 99213.

Almost surely, 21300101120 is an apocalyptic number.

1300101120 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 1300101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2253118140).

1300101120 is an abundant number, since it is smaller than the sum of its proper divisors (3206135160).

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

1300101120 is a wasteful number, since it uses less digits than its factorization.

1300101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14140 (or 14117 counting only the distinct ones).

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

The square root of 1300101120 is about 36056.9150094680. The cubic root of 1300101120 is about 1091.4211801860.

Adding to 1300101120 its reverse (211010031), we get a palindrome (1511111151).

The spelling of 1300101120 in words is "one billion, three hundred million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1024 1152 1280 1440 1536 1920 2048 2304 2560 2880 3072 3840 4608 5120 5760 6144 7680 9216 10240 11520 14107 15360 18432 23040 28214 30720 42321 46080 56428 70535 84642 92160 112856 126963 141070 169284 211605 225712 253926 282140 338568 423210 451424 507852 564280 634815 677136 846420 902848 1015704 1128560 1269630 1354272 1692840 1805696 2031408 2257120 2539260 2708544 3385680 3611392 4062816 4514240 5078520 5417088 6771360 7222784 8125632 9028480 10157040 10834176 13542720 14445568 16251264 18056960 20314080 21668352 27085440 28891136 32502528 36113920 40628160 43336704 54170880 65005056 72227840 81256320 86673408 108341760 130010112 144455680 162512640 216683520 260020224 325025280 433367040 650050560 1300101120