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10120022002112 = 261121319975733
BaseRepresentation
bin1001001101000100000001…
…0100010000100111000000
31022211110112201210200112212
42103101000110100213000
52311301301113031422
633305023545041252
72063101402464641
oct223210024204700
938743481720485
1010120022002112
113251971656700
1211753b2a86228
13585410a77399
1426db513616c8
151283a1ce29e2
hex934405109c0

10120022002112 has 84 divisors (see below), whose sum is σ = 22242016235208. Its totient is φ = 4564894963200.

The previous prime is 10120022002063. The next prime is 10120022002117. The reversal of 10120022002112 is 21120022002101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120022002117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3973403 + ... + 6002330.

It is an arithmetic number, because the mean of its divisors is an integer number (264785907562).

Almost surely, 210120022002112 is an apocalyptic number.

It is an amenable number.

10120022002112 is an abundant number, since it is smaller than the sum of its proper divisors (12121994233096).

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

10120022002112 is a wasteful number, since it uses less digits than its factorization.

10120022002112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9975898 (or 9975877 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10120022002112 its reverse (21120022002101), we get a palindrome (31240044004213).

The spelling of 10120022002112 in words is "ten trillion, one hundred twenty billion, twenty-two million, two thousand, one hundred twelve".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 131 176 242 262 352 484 524 704 968 1048 1441 1936 2096 2882 3872 4192 5764 7744 8384 11528 15851 23056 31702 46112 63404 92224 126808 253616 507232 1014464 9975733 19951466 39902932 79805864 109733063 159611728 219466126 319223456 438932252 638446912 877864504 1207063693 1306821023 1755729008 2414127386 2613642046 3511458016 4828254772 5227284092 7022916032 9656509544 10454568184 14375031253 19313019088 20909136368 28750062506 38626038176 41818272736 57500125012 77252076352 83636545472 115000250024 158125343783 230000500048 316250687566 460001000096 632501375132 920002000192 1265002750264 2530005500528 5060011001056 10120022002112