Search a number
-
+
121551117016 = 23759229160651
BaseRepresentation
bin111000100110100000…
…0101101101011011000
3102121202002212112000211
41301031000231223120
53442414041221031
6131501222140504
711532102306310
oct1611500555330
9377662775024
10121551117016
114760548930a
121b683281734
13b6016662a4
145c51354440
15326624abb1
hex1c4d02dad8

121551117016 has 64 divisors (see below), whose sum is σ = 266039712000. Its totient is φ = 50986454400.

The previous prime is 121551117011. The next prime is 121551117089. The reversal of 121551117016 is 610711155121.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (121551117011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 676291 + ... + 836941.

It is an arithmetic number, because the mean of its divisors is an integer number (4156870500).

Almost surely, 2121551117016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 121551117016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133019856000).

121551117016 is an abundant number, since it is smaller than the sum of its proper divisors (144488594984).

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

121551117016 is a wasteful number, since it uses less digits than its factorization.

121551117016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160952 (or 160948 counting only the distinct ones).

The product of its (nonzero) digits is 2100, while the sum is 31.

The spelling of 121551117016 in words is "one hundred twenty-one billion, five hundred fifty-one million, one hundred seventeen thousand, sixteen".

Divisors: 1 2 4 7 8 14 28 56 59 118 229 236 413 458 472 826 916 1603 1652 1832 3206 3304 6412 12824 13511 27022 54044 94577 108088 160651 189154 321302 378308 642604 756616 1124557 1285208 2249114 4498228 8996456 9478409 18956818 36789079 37913636 66348863 73578158 75827272 132697726 147156316 257523553 265395452 294312632 515047106 530790904 1030094212 2060188424 2170555661 4341111322 8682222644 15193889627 17364445288 30387779254 60775558508 121551117016