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10212210100120 = 235747799822833
BaseRepresentation
bin1001010010011011011100…
…1001111100011110011000
31100011021111110222021212011
42110212313021330132120
52314304101241200440
633415231411555304
72102544041416660
oct224466711743630
940137443867764
1010212210100120
113287a79408156
12118b2405bbb34
13591012cc17c2
142743b8abd1a0
1512a99a2d99ea
hex949b727c798

10212210100120 has 128 divisors (see below), whose sum is σ = 27158171443200. Its totient is φ = 3383454836736.

The previous prime is 10212210100093. The next prime is 10212210100151. The reversal of 10212210100120 is 2100101221201.

It is a self number, because there is not a number n which added to its sum of digits gives 10212210100120.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3871777 + ... + 5951056.

It is an arithmetic number, because the mean of its divisors is an integer number (212173214400).

Almost surely, 210212210100120 is an apocalyptic number.

10212210100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10212210100120 is an abundant number, since it is smaller than the sum of its proper divisors (16945961343080).

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

10212210100120 is a wasteful number, since it uses less digits than its factorization.

10212210100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9822977 (or 9822973 counting only the distinct ones).

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

Adding to 10212210100120 its reverse (2100101221201), we get a palindrome (12312311321321).

The spelling of 10212210100120 in words is "ten trillion, two hundred twelve billion, two hundred ten million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 79 94 140 158 188 235 280 316 329 376 395 470 553 632 658 790 940 1106 1316 1580 1645 1880 2212 2632 2765 3160 3290 3713 4424 5530 6580 7426 11060 13160 14852 18565 22120 25991 29704 37130 51982 74260 103964 129955 148520 207928 259910 519820 1039640 9822833 19645666 39291332 49114165 68759831 78582664 98228330 137519662 196456660 275039324 343799155 392913320 461673151 550078648 687598310 776003807 923346302 1375196620 1552007614 1846692604 2308365755 2750393240 3104015228 3231712057 3693385208 3880019035 4616731510 5432026649 6208030456 6463424114 7760038070 9233463020 10864053298 12926848228 15520076140 16158560285 18466926040 21728106596 25853696456 27160133245 31040152280 32317120570 36472178929 43456213192 54320266490 64634241140 72944357858 108640532980 129268482280 145888715716 182360894645 217281065960 255305252503 291777431432 364721789290 510610505006 729443578580 1021221010012 1276526262515 1458887157160 2042442020024 2553052525030 5106105050060 10212210100120