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120202120202202 = 232411011612628729
BaseRepresentation
bin11011010101001010111100…
…101011010000011111011010
3120202121012200102121011002100
4123111022330223100133122
5111223342420232432302
61103352031450144230
734214213410435533
oct3325127453203732
9522535612534070
10120202120202202
1135333484211735
1211593b86a22076
13520c01ba8b15c
142197b5697968a
15dd6aedcd2d1c
hex6d52bcad07da

120202120202202 has 48 divisors (see below), whose sum is σ = 269431557693480. Its totient is φ = 38703089472000.

The previous prime is 120202120202119. The next prime is 120202120202237. The reversal of 120202120202202 is 202202021202021.

120202120202202 is a `hidden beast` number, since 120 + 20 + 2 + 120 + 202 + 202 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 105254857465641 + 14947262736561 = 10259379^2 + 3866169^2 .

It is a super-2 number, since 2×1202021202022022 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 806239827 + ... + 806388902.

Almost surely, 2120202120202202 is an apocalyptic number.

120202120202202 is an abundant number, since it is smaller than the sum of its proper divisors (149229437491278).

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

120202120202202 is a wasteful number, since it uses less digits than its factorization.

120202120202202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612628879 (or 1612628876 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 120202120202202 its reverse (202202021202021), we get a palindrome (322404141404223).

The spelling of 120202120202202 in words is "one hundred twenty trillion, two hundred two billion, one hundred twenty million, two hundred two thousand, two hundred two".

Divisors: 1 2 3 6 9 18 41 82 101 123 202 246 303 369 606 738 909 1818 4141 8282 12423 24846 37269 74538 1612628729 3225257458 4837886187 9675772374 14513658561 29027317122 66117777889 132235555778 162875501629 198353333667 325751003258 396706667334 488626504887 595060001001 977253009774 1190120002002 1465879514661 2931759029322 6677895566789 13355791133578 20033686700367 40067373400734 60101060101101 120202120202202