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1002202001000 = 23536144337087
BaseRepresentation
bin11101001010101111110…
…01001110111001101000
310112210212011212122222122
432211113321032321220
5112410002203013000
62044223311010412
7132256333311014
oct16452771167150
93483764778878
101002202001000
113570389a1932
12142297509a08
137367954ac05
1436714a85544
151b109c2b085
hexe957e4ee68

1002202001000 has 128 divisors (see below), whose sum is σ = 2389042805760. Its totient is φ = 393408288000.

The previous prime is 1002202000999. The next prime is 1002202001051. The reversal of 1002202001000 is 1002022001.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 31 ways as a sum of consecutive naturals, for example, 27004457 + ... + 27041543.

It is an arithmetic number, because the mean of its divisors is an integer number (18664396920).

Almost surely, 21002202001000 is an apocalyptic number.

1002202001000 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 1002202001000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1194521402880).

1002202001000 is an abundant number, since it is smaller than the sum of its proper divisors (1386840804760).

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

1002202001000 is a wasteful number, since it uses less digits than its factorization.

1002202001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37612 (or 37598 counting only the distinct ones).

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

Adding to 1002202001000 its reverse (1002022001), we get a palindrome (1003204023001).

The spelling of 1002202001000 in words is "one trillion, two billion, two hundred two million, one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 61 100 122 125 200 244 250 305 443 488 500 610 886 1000 1220 1525 1772 2215 2440 3050 3544 4430 6100 7625 8860 11075 12200 15250 17720 22150 27023 30500 37087 44300 54046 55375 61000 74174 88600 108092 110750 135115 148348 185435 216184 221500 270230 296696 370870 443000 540460 675575 741740 927175 1080920 1351150 1483480 1854350 2262307 2702300 3377875 3708700 4524614 4635875 5404600 6755750 7417400 9049228 9271750 11311535 13511500 16429541 18098456 18543500 22623070 27023000 32859082 37087000 45246140 56557675 65718164 82147705 90492280 113115350 131436328 164295410 226230700 282788375 328590820 410738525 452461400 565576750 657181640 821477050 1002202001 1131153500 1642954100 2004404002 2053692625 2262307000 3285908200 4008808004 4107385250 5011010005 8017616008 8214770500 10022020010 16429541000 20044040020 25055050025 40088080040 50110100050 100220200100 125275250125 200440400200 250550500250 501101000500 1002202001000