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10210200001122 = 23111743972181731
BaseRepresentation
bin1001010010010011111101…
…0110000001101001100010
31100011002022101121200102010
42110210333112001221202
52314240442200013442
633414300124333350
72102443163024022
oct224447726015142
940132271550363
1010210200001122
1132871377a3010
12118a97b3a4256
13590a8271c804
14274267b55a82
1512a8cdaceb9c
hex9493f581a62

10210200001122 has 128 divisors (see below), whose sum is σ = 24384572771328. Its totient is φ = 2814955315200.

The previous prime is 10210200001109. The next prime is 10210200001187. The reversal of 10210200001122 is 22110000201201.

It is a junction number, because it is equal to n+sod(n) for n = 10210200001098 and 10210200001107.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3588997 + ... + 5770727.

It is an arithmetic number, because the mean of its divisors is an integer number (190504474776).

Almost surely, 210210200001122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10210200001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12192286385664).

10210200001122 is an abundant number, since it is smaller than the sum of its proper divisors (14174372770206).

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

10210200001122 is a wasteful number, since it uses less digits than its factorization.

10210200001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2181904.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10210200001122 its reverse (22110000201201), we get a palindrome (32320200202323).

The spelling of 10210200001122 in words is "ten trillion, two hundred ten billion, two hundred million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 17 22 33 34 43 51 66 86 97 102 129 187 194 258 291 374 473 561 582 731 946 1067 1122 1419 1462 1649 2134 2193 2838 3201 3298 4171 4386 4947 6402 8041 8342 9894 12513 16082 18139 24123 25026 36278 45881 48246 54417 70907 91762 108834 137643 141814 212721 275286 425442 779977 1559954 2181731 2339931 4363462 4679862 6545193 13090386 23999041 37089427 47998082 71997123 74178854 93814433 111268281 143994246 187628866 211627907 222536562 281443299 407983697 423255814 562886598 634883721 815967394 1031958763 1223951091 1269767442 1594845361 2063917526 2327906977 2447902182 3095876289 3189690722 3597674419 4655813954 4784536083 6191752578 6983720931 7195348838 9100000001 9569072166 10793023257 13967441862 17543298971 18200000002 21586046514 27300000003 35086597942 39574418609 52629896913 54600000006 79148837218 100100000011 105259793826 118723255827 154700000017 200200000022 237446511654 300300000033 309400000034 464100000051 600600000066 928200000102 1701700000187 3403400000374 5105100000561 10210200001122