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1002122120200 = 23525010610601
BaseRepresentation
bin11101001010100110010…
…00100000110000001000
310112210122121120022010111
432211103020200300020
5112404321230321300
62044211334524104
7132254343322255
oct16452310406010
93483577508114
101002122120200
11356aa78a2243
12142274806634
1373665b2cb76
143670821042c
151b102bec9ba
hexe953220c08

1002122120200 has 24 divisors (see below), whose sum is σ = 2329933929930. Its totient is φ = 400848848000.

The previous prime is 1002122120081. The next prime is 1002122120231. The reversal of 1002122120200 is 20212212001.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 771266855524 + 230855264676 = 878218^2 + 480474^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2505305101 + ... + 2505305500.

Almost surely, 21002122120200 is an apocalyptic number.

1002122120200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1002122120200 is an abundant number, since it is smaller than the sum of its proper divisors (1327811809730).

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

1002122120200 is a wasteful number, since it uses less digits than its factorization.

1002122120200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5010610617 (or 5010610608 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 1002122120200 its reverse (20212212001), we get a palindrome (1022334332201).

The spelling of 1002122120200 in words is "one trillion, two billion, one hundred twenty-two million, one hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 5010610601 10021221202 20042442404 25053053005 40084884808 50106106010 100212212020 125265265025 200424424040 250530530050 501061060100 1002122120200