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120022000098 = 237111335356611
BaseRepresentation
bin110111111000111011…
…1100110000111100010
3102110210112120022221220
41233301313212013202
53431301113000343
6131045355555510
711446154111430
oct1576167460742
9373715508856
10120022000098
11469a0321120
121b31715bb96
13b41991ac90
145b48231d50
1531c6d9e183
hex1bf1de61e2

120022000098 has 128 divisors (see below), whose sum is σ = 323215570944. Its totient is φ = 28694476800.

The previous prime is 120022000097. The next prime is 120022000099. The reversal of 120022000098 is 890000220021.

It is an interprime number because it is at equal distance from previous prime (120022000097) and next prime (120022000099).

It is not an unprimeable number, because it can be changed into a prime (120022000097) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2091813 + ... + 2148423.

It is an arithmetic number, because the mean of its divisors is an integer number (2525121648).

Almost surely, 2120022000098 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 120022000098, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161607785472).

120022000098 is an abundant number, since it is smaller than the sum of its proper divisors (203193570846).

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

120022000098 is a wasteful number, since it uses less digits than its factorization.

120022000098 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57000.

The product of its (nonzero) digits is 576, while the sum is 24.

The spelling of 120022000098 in words is "one hundred twenty billion, twenty-two million, ninety-eight", and thus it is an aban number.

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 353 429 462 546 706 858 1001 1059 2002 2118 2471 3003 3883 4589 4942 6006 7413 7766 9178 11649 13767 14826 23298 27181 27534 32123 50479 54362 56611 64246 81543 96369 100958 113222 151437 163086 169833 192738 302874 339666 353353 396277 622721 706706 735943 792554 1060059 1188831 1245442 1471886 1868163 2120118 2207829 2377662 3736326 4359047 4415658 5151601 8095373 8718094 10303202 13077141 15454803 16190746 19983683 24286119 26154282 30909606 39967366 48572238 56667611 59951049 113335222 119902098 139885781 170002833 219820513 259787879 279771562 340005666 419657343 439641026 519575758 659461539 779363637 839314686 1318923078 1538743591 1558727274 1818515153 2857666669 3077487182 3637030306 4616230773 5455545459 5715333338 8573000007 9232461546 10911090918 17146000014 20003666683 40007333366 60011000049 120022000098