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1020023200100 = 225236372804573
BaseRepresentation
bin11101101011111100001…
…11101101100101100100
310121111212011121101021202
432311332013231211210
5113203001414400400
62100331525102032
7133460061100502
oct16657607554544
93544764541252
101020023200100
11363653560553
1214582b857918
1375259707338
143752584b672
151b7ee5664d5
hexed7e1ed964

1020023200100 has 36 divisors (see below), whose sum is σ = 2214059726004. Its totient is φ = 407896951680.

The previous prime is 1020023200073. The next prime is 1020023200127. The reversal of 1020023200100 is 10023200201.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1020023200073) and next prime (1020023200127).

It can be written as a sum of positive squares in 6 ways, for example, as 272216801536 + 747806398564 = 521744^2 + 864758^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1038587 + ... + 1765986.

Almost surely, 21020023200100 is an apocalyptic number.

1020023200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020023200100 is an abundant number, since it is smaller than the sum of its proper divisors (1194036525904).

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

1020023200100 is a wasteful number, since it uses less digits than its factorization.

1020023200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2808224 (or 2808217 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 1020023200100 its reverse (10023200201), we get a palindrome (1030046400301).

The spelling of 1020023200100 in words is "one trillion, twenty billion, twenty-three million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 3637 7274 14548 18185 36370 72740 90925 181850 363700 2804573 5609146 11218292 14022865 28045730 56091460 70114325 140228650 280457300 10200232001 20400464002 40800928004 51001160005 102002320010 204004640020 255005800025 510011600050 1020023200100