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1202201001300 = 22352131066328909
BaseRepresentation
bin10001011111101000110…
…000110111110101010100
311020221002110021120011010
4101133220300313311110
5124144101424020200
62320141123412220
7152566442622315
oct21375060676524
94227073246133
101202201001300
1142393a13aa32
12174bb2824070
13894a05aa040
144228898660c
1521413054150
hex117e8c37d54

1202201001300 has 144 divisors (see below), whose sum is σ = 3746415908480. Its totient is φ = 295888412160.

The previous prime is 1202201001283. The next prime is 1202201001317. The reversal of 1202201001300 is 31001022021.

It is an interprime number because it is at equal distance from previous prime (1202201001283) and next prime (1202201001317).

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 41571246 + ... + 41600154.

Almost surely, 21202201001300 is an apocalyptic number.

1202201001300 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 1202201001300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1873207954240).

1202201001300 is an abundant number, since it is smaller than the sum of its proper divisors (2544214907180).

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

1202201001300 is a wasteful number, since it uses less digits than its factorization.

1202201001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39602 (or 39595 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 1202201001300 its reverse (31001022021), we get a palindrome (1233202023321).

The spelling of 1202201001300 in words is "one trillion, two hundred two billion, two hundred one million, one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 780 975 1300 1950 3900 10663 21326 28909 31989 42652 53315 57818 63978 86727 106630 115636 127956 138619 144545 159945 173454 213260 266575 277238 289090 319890 346908 375817 415857 433635 533150 554476 578180 639780 693095 722725 751634 799725 831714 867270 1066300 1127451 1386190 1445450 1503268 1599450 1663428 1734540 1879085 2079285 2168175 2254902 2772380 2890900 3198900 3465475 3758170 4158570 4336350 4509804 5637255 6930950 7516340 8317140 8672700 9395425 10396425 11274510 13861900 18790850 20792850 22549020 28186275 37581700 41585700 56372550 112745100 308256667 616513334 924770001 1233026668 1541283335 1849540002 3082566670 3699080004 4007336671 4623850005 6165133340 7706416675 8014673342 9247700010 12022010013 15412833350 16029346684 18495400020 20036683355 23119250025 24044020026 30825666700 40073366710 46238500050 48088040052 60110050065 80146733420 92477000100 100183416775 120220100130 200366833550 240440200260 300550250325 400733667100 601100500650 1202201001300