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1022210002000 = 24531146464091
BaseRepresentation
bin11101110000000000111…
…01101100110001010000
310121201111120110102112201
432320000131230301100
5113221441230031000
62101332523532544
7133565213440315
oct16700035546120
93551446412481
101022210002000
11364575996150
1214614008a154
1375517797565
1437692050d0c
151b8cb52796a
hexee0076cc50

1022210002000 has 80 divisors (see below), whose sum is σ = 2696404186944. Its totient is φ = 371712720000.

The previous prime is 1022210001997. The next prime is 1022210002003. The reversal of 1022210002000 is 2000122201.

It is an interprime number because it is at equal distance from previous prime (1022210001997) and next prime (1022210002003).

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1022210002003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23210046 + ... + 23254045.

Almost surely, 21022210002000 is an apocalyptic number.

1022210002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022210002000 is an abundant number, since it is smaller than the sum of its proper divisors (1674194184944).

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

1022210002000 is a wasteful number, since it uses less digits than its factorization.

1022210002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46464125 (or 46464109 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 1022210002000 its reverse (2000122201), we get a palindrome (1024210124201).

The spelling of 1022210002000 in words is "one trillion, twenty-two billion, two hundred ten million, two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 46464091 92928182 185856364 232320455 371712728 464640910 511105001 743425456 929281820 1022210002 1161602275 1858563640 2044420004 2323204550 2555525005 3717127280 4088840008 4646409100 5111050010 5808011375 8177680016 9292818200 10222100020 11616022750 12777625025 18585636400 20444200040 23232045500 25555250050 40888400080 46464091000 51110500100 63888125125 92928182000 102221000200 127776250250 204442000400 255552500500 511105001000 1022210002000