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10012100022112 = 255092192928031
BaseRepresentation
bin1001000110110001111110…
…1010100100111101100000
31022110010222110120001201111
42101230133222210331200
52303014240101201422
633143254550313104
72052231113004556
oct221543752447540
938403873501644
1010012100022112
1132101204a17a1
1211584b4058794
135781a1c40916
14268834145bd6
1512568736ea77
hex91b1faa4f60

10012100022112 has 48 divisors (see below), whose sum is σ = 19751652748800. Its totient is φ = 4995808875520.

The previous prime is 10012100022103. The next prime is 10012100022131. The reversal of 10012100022112 is 21122000121001.

10012100022112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100121000221122 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10012100022092 and 10012100022101.

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, 357165537 + ... + 357193567.

It is an arithmetic number, because the mean of its divisors is an integer number (411492765600).

Almost surely, 210012100022112 is an apocalyptic number.

It is an amenable number.

10012100022112 is a deficient number, since it is larger than the sum of its proper divisors (9739552726688).

10012100022112 is a wasteful number, since it uses less digits than its factorization.

10012100022112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50479 (or 50471 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10012100022112 its reverse (21122000121001), we get a palindrome (31134100143113).

The spelling of 10012100022112 in words is "ten trillion, twelve billion, one hundred million, twenty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 32 509 1018 2036 4072 8144 16288 21929 28031 43858 56062 87716 112124 175432 224248 350864 448496 701728 896992 11161861 14267779 22323722 28535558 44647444 57071116 89294888 114142232 178589776 228284464 357179552 456568928 614691799 1229383598 2458767196 4917534392 9835068784 19670137568 312878125691 625756251382 1251512502764 2503025005528 5006050011056 10012100022112