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1120101200106 = 237294183270239
BaseRepresentation
bin10000010011001011001…
…110111111000011101010
310222002011210000112102120
4100103023032333003222
5121322431401400411
62214322320012110
7143632103052330
oct20231316770352
93862153015376
101120101200106
113a2039a21169
121610bb761036
1381818426a15
143c2dadb3b50
151e20a55c106
hex104cb3bf0ea

1120101200106 has 128 divisors (see below), whose sum is σ = 2745811353600. Its totient is φ = 297823895040.

The previous prime is 1120101200089. The next prime is 1120101200219. The reversal of 1120101200106 is 6010021010211.

It is a happy number.

It is a super-2 number, since 2×11201012001062 (a number of 25 digits) contains 22 as substring.

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, 4009735 + ... + 4279973.

It is an arithmetic number, because the mean of its divisors is an integer number (21451651200).

Almost surely, 21120101200106 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1120101200106, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372905676800).

1120101200106 is an abundant number, since it is smaller than the sum of its proper divisors (1625710153494).

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

1120101200106 is a wasteful number, since it uses less digits than its factorization.

1120101200106 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270404.

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 1120101200106 its reverse (6010021010211), we get a palindrome (7130122210317).

The spelling of 1120101200106 in words is "one trillion, one hundred twenty billion, one hundred one million, two hundred thousand, one hundred six".

Divisors: 1 2 3 6 7 14 21 29 41 42 58 82 83 87 123 166 174 203 246 249 287 406 498 574 581 609 861 1162 1189 1218 1722 1743 2378 2407 3403 3486 3567 4814 6806 7134 7221 8323 10209 14442 16646 16849 20418 23821 24969 33698 47642 49938 50547 71463 98687 101094 142926 197374 270239 296061 540478 592122 690809 810717 1381618 1621434 1891673 2072427 3783346 4144854 5675019 7836931 11079799 11350038 15673862 22159598 22429837 23510793 33239397 44859674 47021586 54858517 66478794 67289511 77558593 109717034 134579022 155117186 157008859 164575551 232675779 314017718 321314171 329151102 465351558 471026577 642628342 650465273 919623317 942053154 963942513 1300930546 1839246634 1927885026 1951395819 2249199197 2758869951 3902791638 4498398394 4553256911 5517739902 6437363219 6747597591 9106513822 12874726438 13495195182 13659770733 19312089657 26669076193 27319541466 38624179314 53338152386 80007228579 160014457158 186683533351 373367066702 560050600053 1120101200106