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10210012011120 = 243589477996817
BaseRepresentation
bin1001010010010011010000…
…1000111001101001110000
31100011001211021212210121110
42110210310020321221300
52314240101033323440
633414225331153320
72102435421110145
oct224446410715160
940131737783543
1010210012011120
113287050673379
12118a928445840
13590a527abc1c
1427424abbc3cc
1512a8bc349080
hex94934239a70

10210012011120 has 80 divisors (see below), whose sum is σ = 32006666933280. Its totient is φ = 2692078067712.

The previous prime is 10210012011071. The next prime is 10210012011131. The reversal of 10210012011120 is 2111021001201.

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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 10210012011096 and 10210012011105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 238977049 + ... + 239019768.

It is an arithmetic number, because the mean of its divisors is an integer number (400083336666).

Almost surely, 210210012011120 is an apocalyptic number.

10210012011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10210012011120 is an abundant number, since it is smaller than the sum of its proper divisors (21796654922160).

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

10210012011120 is a wasteful number, since it uses less digits than its factorization.

10210012011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477996922 (or 477996916 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 10210012011120 its reverse (2111021001201), we get a palindrome (12321033012321).

The spelling of 10210012011120 in words is "ten trillion, two hundred ten billion, twelve million, eleven thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 89 120 178 240 267 356 445 534 712 890 1068 1335 1424 1780 2136 2670 3560 4272 5340 7120 10680 21360 477996817 955993634 1433990451 1911987268 2389984085 2867980902 3823974536 4779968170 5735961804 7169952255 7647949072 9559936340 11471923608 14339904510 19119872680 22943847216 28679809020 38239745360 42541716713 57359618040 85083433426 114719236080 127625150139 170166866852 212708583565 255250300278 340333733704 425417167130 510500600556 638125750695 680667467408 850834334260 1021001201112 1276251501390 1701668668520 2042002402224 2552503002780 3403337337040 5105006005560 10210012011120