Search a number
-
+
102121100120 = 23513690728433
BaseRepresentation
bin101111100011011100…
…1000101001101011000
3100202120222212101121102
41133012321011031120
53133121000200440
6114525213330532
710243441012604
oct1370671051530
9322528771542
10102121100120
113a344776006
1217960196a48
1398260a7680
144d2aa40504
1529ca56db15
hex17c6e45358

102121100120 has 64 divisors (see below), whose sum is σ = 247491810720. Its totient is φ = 37699467264.

The previous prime is 102121100111. The next prime is 102121100131. The reversal of 102121100120 is 21001121201.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3577424 + ... + 3605856.

Almost surely, 2102121100120 is an apocalyptic number.

102121100120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102121100120 is an abundant number, since it is smaller than the sum of its proper divisors (145370710600).

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

102121100120 is a wasteful number, since it uses less digits than its factorization.

102121100120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35364 (or 35360 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 11.

Adding to 102121100120 its reverse (21001121201), we get a palindrome (123122221321).

The spelling of 102121100120 in words is "one hundred two billion, one hundred twenty-one million, one hundred thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 6907 13814 27628 28433 34535 55256 56866 69070 89791 113732 138140 142165 179582 227464 276280 284330 359164 369629 448955 568660 718328 739258 897910 1137320 1478516 1795820 1848145 2957032 3591640 3696290 7392580 14785160 196386731 392773462 785546924 981933655 1571093848 1963867310 2553027503 3927734620 5106055006 7855469240 10212110012 12765137515 20424220024 25530275030 51060550060 102121100120