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1300201212100 = 225273785958441
BaseRepresentation
bin10010111010111010000…
…010000000100011000100
311121022001020222002100011
4102322322002000203010
5132300303002241400
62433145412200004
7162636124644520
oct22727202004304
94538036862304
101300201212100
1146145976288a
1218bba2909004
13957ba9b735b
1446d041a4d80
1523c4b91d8ba
hex12eba0808c4

1300201212100 has 144 divisors (see below), whose sum is σ = 3315559596160. Its totient is φ = 433222732800.

The previous prime is 1300201212077. The next prime is 1300201212103. The reversal of 1300201212100 is 12121020031.

It is not an unprimeable number, because it can be changed into a prime (1300201212103) 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, 22218880 + ... + 22277320.

Almost surely, 21300201212100 is an apocalyptic number.

1300201212100 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 1300201212100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1657779798080).

1300201212100 is an abundant number, since it is smaller than the sum of its proper divisors (2015358384060).

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

1300201212100 is a wasteful number, since it uses less digits than its factorization.

1300201212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59358 (or 59351 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 1300201212100 its reverse (12121020031), we get a palindrome (1312322232131).

The spelling of 1300201212100 in words is "one trillion, three hundred billion, two hundred one million, two hundred twelve thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 140 148 175 185 259 350 370 518 700 740 859 925 1036 1295 1718 1850 2590 3436 3700 4295 5180 6013 6475 8590 12026 12950 17180 21475 24052 25900 30065 31783 42950 58441 60130 63566 85900 116882 120260 127132 150325 158915 222481 233764 292205 300650 317830 409087 444962 584410 601300 635660 794575 818174 889924 1112405 1168820 1461025 1589150 1636348 2045435 2162317 2224810 2922050 3178300 4090870 4324634 4449620 5562025 5844100 8181740 8649268 10227175 10811585 11124050 15136219 20454350 21623170 22248100 30272438 40908700 43246340 50200819 54057925 60544876 75681095 100401638 108115850 151362190 200803276 216231700 251004095 302724380 351405733 378405475 502008190 702811466 756810950 1004016380 1255020475 1405622932 1513621900 1757028665 1857430303 2510040950 3514057330 3714860606 5020081900 7028114660 7429721212 8785143325 9287151515 13002012121 17570286650 18574303030 26004024242 35140573300 37148606060 46435757575 52008048484 65010060605 92871515150 130020121210 185743030300 260040242420 325050303025 650100606050 1300201212100