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1012001022201 = 313241101509947
BaseRepresentation
bin11101011100111111111…
…01100010000011111001
310120202011002110112000210
432232133331202003321
5113040034230202301
62052523514021333
7133054220520651
oct16563775420371
93522132415023
101012001022201
11360207215564
12144171117849
137457b6ca700
1436da424d361
151b4d0139ad6
hexeb9ff620f9

1012001022201 has 96 divisors (see below), whose sum is σ = 1516139130240. Its totient is φ = 599748864000.

The previous prime is 1012001022103. The next prime is 1012001022203. The reversal of 1012001022201 is 1022201002101.

It is not a de Polignac number, because 1012001022201 - 214 = 1012001005817 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1012001022203) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1068638410 + ... + 1068639356.

It is an arithmetic number, because the mean of its divisors is an integer number (15793115940).

Almost surely, 21012001022201 is an apocalyptic number.

It is an amenable number.

1012001022201 is a deficient number, since it is larger than the sum of its proper divisors (504138108039).

1012001022201 is a wasteful number, since it uses less digits than its factorization.

1012001022201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1627 (or 1614 counting only the distinct ones).

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

Adding to 1012001022201 its reverse (1022201002101), we get a palindrome (2034202024302).

The spelling of 1012001022201 in words is "one trillion, twelve billion, one million, twenty-two thousand, two hundred one".

Divisors: 1 3 13 39 41 101 123 169 303 507 509 533 947 1313 1527 1599 2841 3939 4141 6617 6929 12311 12423 17069 19851 20787 20869 36933 38827 51207 51409 53833 62607 86021 95647 116481 154227 160043 161499 258063 271297 286941 480129 482023 504751 668317 699829 813891 1243411 1446069 1514253 2004951 2099487 2107769 3526861 3730233 3921527 6266299 6323307 6561763 8688121 10580583 11764581 16164343 18798897 19685289 19762943 26064363 27400997 48493029 48684323 50979851 59288829 81461887 82202991 146052969 152939553 244385661 256918259 356212961 632896199 662738063 770754777 1068638883 1898688597 1988214189 1996057243 3339937367 5988171729 8227650587 10019812101 24682951761 25948744159 77846232477 337333674067 1012001022201