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10100022000212 = 2252112973736669
BaseRepresentation
bin1001001011111001100000…
…1110010011101001010100
31022202112220220021022200202
42102332120032103221110
52310434321113001322
633251515215400032
72061462650332334
oct222763016235124
938675826238622
1010100022000212
113244439126211
121171550b23018
1358357439b931
1426cbb50790c4
15127ad1076292
hex92f98393a54

10100022000212 has 24 divisors (see below), whose sum is σ = 17722622249640. Its totient is φ = 5036430597120.

The previous prime is 10100022000197. The next prime is 10100022000227. The reversal of 10100022000212 is 21200022000101.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10100022000197) and next prime (10100022000227).

It can be written as a sum of positive squares in 4 ways, for example, as 3374848229776 + 6725173770436 = 1837076^2 + 2593294^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10100022000193 and 10100022000202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 834614 + ... + 4571282.

It is an arithmetic number, because the mean of its divisors is an integer number (738442593735).

Almost surely, 210100022000212 is an apocalyptic number.

It is an amenable number.

10100022000212 is a deficient number, since it is larger than the sum of its proper divisors (7622600249428).

10100022000212 is a wasteful number, since it uses less digits than its factorization.

10100022000212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3738491 (or 3738489 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10100022000212 its reverse (21200022000101), we get a palindrome (31300044000313).

The spelling of 10100022000212 in words is "ten trillion, one hundred billion, twenty-two million, two hundred twelve", and thus it is an aban number.

Divisors: 1 2 4 521 1042 1297 2084 2594 5188 675737 1351474 2702948 3736669 7473338 14946676 1946804549 3893609098 4846459693 7787218196 9692919386 19385838772 2525005500053 5050011000106 10100022000212