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1001201202100 = 2252112591402439
BaseRepresentation
bin11101001000111000011…
…11011111001110110100
310112201021102200210222201
432210130033133032310
5112400430001431400
62043540120234244
7132222461541661
oct16443417371664
93481242623881
101001201202100
11356674a82900
1214205830b984
137354a0c1208
143665bbaaa68
151b09be3d06a
hexe91c3df3b4

1001201202100 has 108 divisors (see below), whose sum is σ = 2428549250400. Its totient is φ = 357902177600.

The previous prime is 1001201202073. The next prime is 1001201202229. The reversal of 1001201202100 is 12021021001.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 12681 + ... + 1415119.

Almost surely, 21001201202100 is an apocalyptic number.

1001201202100 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 1001201202100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1214274625200).

1001201202100 is an abundant number, since it is smaller than the sum of its proper divisors (1427348048300).

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

1001201202100 is a wasteful number, since it uses less digits than its factorization.

1001201202100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1402534 (or 1402516 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1001201202100 its reverse (12021021001), we get a palindrome (1013222223101).

The spelling of 1001201202100 in words is "one trillion, one billion, two hundred one million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 59 100 110 118 121 220 236 242 275 295 484 550 590 605 649 1100 1180 1210 1298 1475 2420 2596 2950 3025 3245 5900 6050 6490 7139 12100 12980 14278 16225 28556 32450 35695 64900 71390 142780 178475 356950 713900 1402439 2804878 5609756 7012195 14024390 15426829 28048780 30853658 35060975 61707316 70121950 77134145 82743901 140243900 154268290 165487802 169695119 308536580 330975604 339390238 385670725 413719505 678780476 771341450 827439010 848475595 910182911 1542682900 1654878020 1696951190 1820365822 2068597525 3393902380 3640731644 4137195050 4242377975 4550914555 8274390100 8484755950 9101829110 10012012021 16969511900 18203658220 20024024042 22754572775 40048048084 45509145550 50060060105 91018291100 100120120210 200240240420 250300300525 500600601050 1001201202100