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1002303042200 = 2352311371180013
BaseRepresentation
bin11101001010111011110…
…10101011001010011000
310112211010020000002110022
432211131322223022120
5112410204034322300
62044241320410012
7132262001200535
oct16453572531230
93484106002408
101002303042200
1135708aa34659
12142305316908
13736944675c5
1436724267d8c
151b113a39285
hexe95deab298

1002303042200 has 96 divisors (see below), whose sum is σ = 2423087948160. Its totient is φ = 385155916800.

The previous prime is 1002303042179. The next prime is 1002303042241. The reversal of 1002303042200 is 22403032001.

It is a super-2 number, since 2×10023030422002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 259394 + ... + 1439406.

It is an arithmetic number, because the mean of its divisors is an integer number (25240499460).

Almost surely, 21002303042200 is an apocalyptic number.

1002303042200 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 1002303042200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1211543974080).

1002303042200 is an abundant number, since it is smaller than the sum of its proper divisors (1420784905960).

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

1002303042200 is a wasteful number, since it uses less digits than its factorization.

1002303042200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1180197 (or 1180188 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 1002303042200 its reverse (22403032001), we get a palindrome (1024706074201).

The spelling of 1002303042200 in words is "one trillion, two billion, three hundred three million, forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 137 155 200 248 274 310 548 620 685 775 1096 1240 1370 1550 2740 3100 3425 4247 5480 6200 6850 8494 13700 16988 21235 27400 33976 42470 84940 106175 169880 212350 424700 849400 1180013 2360026 4720052 5900065 9440104 11800130 23600260 29500325 36580403 47200520 59000650 73160806 118001300 146321612 161661781 182902015 236002600 292643224 323323562 365804030 646647124 731608060 808308905 914510075 1293294248 1463216120 1616617810 1829020150 3233235620 3658040300 4041544525 5011515211 6466471240 7316080600 8083089050 10023030422 16166178100 20046060844 25057576055 32332356200 40092121688 50115152110 100230304220 125287880275 200460608440 250575760550 501151521100 1002303042200